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Finding the Fourth Proportional to 10,026.28, 15,019.92 and 6,553

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Solution

The fourth proportional to 10,026.28, 15,019.92 and 6,553 is: 9,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.28 : 15,019.92 = 6,553 : x
  2. Step 2: Convert to fraction form
    10,026.28/15,019.92 = 6,553/x
  3. Step 3: Cross multiply
    10,026.28x = 15,019.92 × 6,553
  4. Step 4: Simplify right side
    10,026.28x = 98,425,535.76
  5. Step 5: Solve for x
    x = 98,425,535.76/10,026.28
  6. Step 6: Final answer
    x = 9,816.76

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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.