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Finding the Fourth Proportional to 7,048.48, 9,724.71 and 4,691.02

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Solution

The fourth proportional to 7,048.48, 9,724.71 and 4,691.02 is: 6,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.48 : 9,724.71 = 4,691.02 : x
  2. Step 2: Convert to fraction form
    7,048.48/9,724.71 = 4,691.02/x
  3. Step 3: Cross multiply
    7,048.48x = 9,724.71 × 4,691.02
  4. Step 4: Simplify right side
    7,048.48x = 45,618,809.10
  5. Step 5: Solve for x
    x = 45,618,809.10/7,048.48
  6. Step 6: Final answer
    x = 6,472.15

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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.