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Finding the Fourth Proportional to 9,793.62, 14,691.27 and 3,131.07

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Solution

The fourth proportional to 9,793.62, 14,691.27 and 3,131.07 is: 4,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.62 : 14,691.27 = 3,131.07 : x
  2. Step 2: Convert to fraction form
    9,793.62/14,691.27 = 3,131.07/x
  3. Step 3: Cross multiply
    9,793.62x = 14,691.27 × 3,131.07
  4. Step 4: Simplify right side
    9,793.62x = 45,999,394.76
  5. Step 5: Solve for x
    x = 45,999,394.76/9,793.62
  6. Step 6: Final answer
    x = 4,696.87

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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.