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Finding the Fourth Proportional to 10,980.18, 15,151.62 and 6,503.94

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Solution

The fourth proportional to 10,980.18, 15,151.62 and 6,503.94 is: 8,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.18 : 15,151.62 = 6,503.94 : x
  2. Step 2: Convert to fraction form
    10,980.18/15,151.62 = 6,503.94/x
  3. Step 3: Cross multiply
    10,980.18x = 15,151.62 × 6,503.94
  4. Step 4: Simplify right side
    10,980.18x = 98,545,227.38
  5. Step 5: Solve for x
    x = 98,545,227.38/10,980.18
  6. Step 6: Final answer
    x = 8,974.83

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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.