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Finding the Fourth Proportional to 8,294.13, 12,434.97 and 5,006.46

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Solution

The fourth proportional to 8,294.13, 12,434.97 and 5,006.46 is: 7,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.13 : 12,434.97 = 5,006.46 : x
  2. Step 2: Convert to fraction form
    8,294.13/12,434.97 = 5,006.46/x
  3. Step 3: Cross multiply
    8,294.13x = 12,434.97 × 5,006.46
  4. Step 4: Simplify right side
    8,294.13x = 62,255,179.91
  5. Step 5: Solve for x
    x = 62,255,179.91/8,294.13
  6. Step 6: Final answer
    x = 7,505.93

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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.