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Finding the Fourth Proportional to 6,248.53, 9,369.69 and 1,864.81

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Solution

The fourth proportional to 6,248.53, 9,369.69 and 1,864.81 is: 2,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.53 : 9,369.69 = 1,864.81 : x
  2. Step 2: Convert to fraction form
    6,248.53/9,369.69 = 1,864.81/x
  3. Step 3: Cross multiply
    6,248.53x = 9,369.69 × 1,864.81
  4. Step 4: Simplify right side
    6,248.53x = 17,472,691.61
  5. Step 5: Solve for x
    x = 17,472,691.61/6,248.53
  6. Step 6: Final answer
    x = 2,796.29

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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.