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Finding the Fourth Proportional to 15,863.16, 23,789.94 and 6,627

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Solution

The fourth proportional to 15,863.16, 23,789.94 and 6,627 is: 9,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.16 : 23,789.94 = 6,627 : x
  2. Step 2: Convert to fraction form
    15,863.16/23,789.94 = 6,627/x
  3. Step 3: Cross multiply
    15,863.16x = 23,789.94 × 6,627
  4. Step 4: Simplify right side
    15,863.16x = 157,655,932.38
  5. Step 5: Solve for x
    x = 157,655,932.38/15,863.16
  6. Step 6: Final answer
    x = 9,938.49

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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.