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Finding the Fourth Proportional to 9,098.73, 13,635.95 and 7,791.80

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Solution

The fourth proportional to 9,098.73, 13,635.95 and 7,791.80 is: 11,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.73 : 13,635.95 = 7,791.80 : x
  2. Step 2: Convert to fraction form
    9,098.73/13,635.95 = 7,791.80/x
  3. Step 3: Cross multiply
    9,098.73x = 13,635.95 × 7,791.80
  4. Step 4: Simplify right side
    9,098.73x = 106,248,488.07
  5. Step 5: Solve for x
    x = 106,248,488.07/9,098.73
  6. Step 6: Final answer
    x = 11,677.29

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1.5x scale

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.