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Finding the Fourth Proportional to 7,147.56, 9,864.18 and 4,497.24

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Solution

The fourth proportional to 7,147.56, 9,864.18 and 4,497.24 is: 6,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.56 : 9,864.18 = 4,497.24 : x
  2. Step 2: Convert to fraction form
    7,147.56/9,864.18 = 4,497.24/x
  3. Step 3: Cross multiply
    7,147.56x = 9,864.18 × 4,497.24
  4. Step 4: Simplify right side
    7,147.56x = 44,361,584.86
  5. Step 5: Solve for x
    x = 44,361,584.86/7,147.56
  6. Step 6: Final answer
    x = 6,206.54

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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.