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Finding the Fourth Proportional to 6,437.65, 9,654.04 and 2,972.47

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Solution

The fourth proportional to 6,437.65, 9,654.04 and 2,972.47 is: 4,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.65 : 9,654.04 = 2,972.47 : x
  2. Step 2: Convert to fraction form
    6,437.65/9,654.04 = 2,972.47/x
  3. Step 3: Cross multiply
    6,437.65x = 9,654.04 × 2,972.47
  4. Step 4: Simplify right side
    6,437.65x = 28,696,351.71
  5. Step 5: Solve for x
    x = 28,696,351.71/6,437.65
  6. Step 6: Final answer
    x = 4,457.58

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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.