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Finding the Fourth Proportional to 5,434.33, 7,443.19 and 5,115.17

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Solution

The fourth proportional to 5,434.33, 7,443.19 and 5,115.17 is: 7,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.33 : 7,443.19 = 5,115.17 : x
  2. Step 2: Convert to fraction form
    5,434.33/7,443.19 = 5,115.17/x
  3. Step 3: Cross multiply
    5,434.33x = 7,443.19 × 5,115.17
  4. Step 4: Simplify right side
    5,434.33x = 38,073,155.27
  5. Step 5: Solve for x
    x = 38,073,155.27/5,434.33
  6. Step 6: Final answer
    x = 7,006.04

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.