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Finding the Fourth Proportional to 10,877.84, 16,318.92 and 6,200

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Solution

The fourth proportional to 10,877.84, 16,318.92 and 6,200 is: 9,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.84 : 16,318.92 = 6,200 : x
  2. Step 2: Convert to fraction form
    10,877.84/16,318.92 = 6,200/x
  3. Step 3: Cross multiply
    10,877.84x = 16,318.92 × 6,200
  4. Step 4: Simplify right side
    10,877.84x = 101,177,304
  5. Step 5: Solve for x
    x = 101,177,304/10,877.84
  6. Step 6: Final answer
    x = 9,301.23

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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.