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Finding the Fourth Proportional to 10,598.24, 15,893.92 and 9,908

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Solution

The fourth proportional to 10,598.24, 15,893.92 and 9,908 is: 14,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.24 : 15,893.92 = 9,908 : x
  2. Step 2: Convert to fraction form
    10,598.24/15,893.92 = 9,908/x
  3. Step 3: Cross multiply
    10,598.24x = 15,893.92 × 9,908
  4. Step 4: Simplify right side
    10,598.24x = 157,476,959.36
  5. Step 5: Solve for x
    x = 157,476,959.36/10,598.24
  6. Step 6: Final answer
    x = 14,858.78

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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.