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Finding the Fourth Proportional to 9,882.54, 13,614.48 and 6,893.10

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Solution

The fourth proportional to 9,882.54, 13,614.48 and 6,893.10 is: 9,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.54 : 13,614.48 = 6,893.10 : x
  2. Step 2: Convert to fraction form
    9,882.54/13,614.48 = 6,893.10/x
  3. Step 3: Cross multiply
    9,882.54x = 13,614.48 × 6,893.10
  4. Step 4: Simplify right side
    9,882.54x = 93,845,972.09
  5. Step 5: Solve for x
    x = 93,845,972.09/9,882.54
  6. Step 6: Final answer
    x = 9,496.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.