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Finding the Fourth Proportional to 6,196.10, 9,294.16 and 5,098.16

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Solution

The fourth proportional to 6,196.10, 9,294.16 and 5,098.16 is: 7,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.10 : 9,294.16 = 5,098.16 : x
  2. Step 2: Convert to fraction form
    6,196.10/9,294.16 = 5,098.16/x
  3. Step 3: Cross multiply
    6,196.10x = 9,294.16 × 5,098.16
  4. Step 4: Simplify right side
    6,196.10x = 47,383,131.71
  5. Step 5: Solve for x
    x = 47,383,131.71/6,196.10
  6. Step 6: Final answer
    x = 7,647.25

Related Problems

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Half scale
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Double scale
Find fourth proportional to 6,197.10, 9,295.66 and 5,099.16
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.