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Finding the Fourth Proportional to 9,493.11, 13,098.17 and 5,910.89

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Solution

The fourth proportional to 9,493.11, 13,098.17 and 5,910.89 is: 8,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.11 : 13,098.17 = 5,910.89 : x
  2. Step 2: Convert to fraction form
    9,493.11/13,098.17 = 5,910.89/x
  3. Step 3: Cross multiply
    9,493.11x = 13,098.17 × 5,910.89
  4. Step 4: Simplify right side
    9,493.11x = 77,421,791.36
  5. Step 5: Solve for x
    x = 77,421,791.36/9,493.11
  6. Step 6: Final answer
    x = 8,155.58

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1.5x scale

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.