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Finding the Fourth Proportional to 10,998, 15,177.96 and 6,030

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Solution

The fourth proportional to 10,998, 15,177.96 and 6,030 is: 8,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998 : 15,177.96 = 6,030 : x
  2. Step 2: Convert to fraction form
    10,998/15,177.96 = 6,030/x
  3. Step 3: Cross multiply
    10,998x = 15,177.96 × 6,030
  4. Step 4: Simplify right side
    10,998x = 91,523,098.80
  5. Step 5: Solve for x
    x = 91,523,098.80/10,998
  6. Step 6: Final answer
    x = 8,321.79

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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.