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Finding the Fourth Proportional to 6,114.10, 9,171.15 and 1,497.10

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Solution

The fourth proportional to 6,114.10, 9,171.15 and 1,497.10 is: 2,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.10 : 9,171.15 = 1,497.10 : x
  2. Step 2: Convert to fraction form
    6,114.10/9,171.15 = 1,497.10/x
  3. Step 3: Cross multiply
    6,114.10x = 9,171.15 × 1,497.10
  4. Step 4: Simplify right side
    6,114.10x = 13,730,128.67
  5. Step 5: Solve for x
    x = 13,730,128.67/6,114.10
  6. Step 6: Final answer
    x = 2,245.65

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Half scale
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Double scale
Find fourth proportional to 6,115.10, 9,172.65 and 1,498.10
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.