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Finding the Fourth Proportional to 7,205.49, 9,948.13 and 5,523.78

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Solution

The fourth proportional to 7,205.49, 9,948.13 and 5,523.78 is: 7,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.49 : 9,948.13 = 5,523.78 : x
  2. Step 2: Convert to fraction form
    7,205.49/9,948.13 = 5,523.78/x
  3. Step 3: Cross multiply
    7,205.49x = 9,948.13 × 5,523.78
  4. Step 4: Simplify right side
    7,205.49x = 54,951,281.53
  5. Step 5: Solve for x
    x = 54,951,281.53/7,205.49
  6. Step 6: Final answer
    x = 7,626.31

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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.