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Finding the Fourth Proportional to 6,497.15, 9,729.12 and 3,572.24

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Solution

The fourth proportional to 6,497.15, 9,729.12 and 3,572.24 is: 5,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.15 : 9,729.12 = 3,572.24 : x
  2. Step 2: Convert to fraction form
    6,497.15/9,729.12 = 3,572.24/x
  3. Step 3: Cross multiply
    6,497.15x = 9,729.12 × 3,572.24
  4. Step 4: Simplify right side
    6,497.15x = 34,754,751.63
  5. Step 5: Solve for x
    x = 34,754,751.63/6,497.15
  6. Step 6: Final answer
    x = 5,349.23

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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.