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Finding the Fourth Proportional to 7,154.48, 9,863.10 and 6,170.24

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Solution

The fourth proportional to 7,154.48, 9,863.10 and 6,170.24 is: 8,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.48 : 9,863.10 = 6,170.24 : x
  2. Step 2: Convert to fraction form
    7,154.48/9,863.10 = 6,170.24/x
  3. Step 3: Cross multiply
    7,154.48x = 9,863.10 × 6,170.24
  4. Step 4: Simplify right side
    7,154.48x = 60,857,694.14
  5. Step 5: Solve for x
    x = 60,857,694.14/7,154.48
  6. Step 6: Final answer
    x = 8,506.24

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Half scale
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Double scale
Find fourth proportional to 7,155.48, 9,864.48 and 6,171.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.