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Finding the Fourth Proportional to 9,920.89, 13,691.46 and 7,232.77

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Solution

The fourth proportional to 9,920.89, 13,691.46 and 7,232.77 is: 9,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.89 : 13,691.46 = 7,232.77 : x
  2. Step 2: Convert to fraction form
    9,920.89/13,691.46 = 7,232.77/x
  3. Step 3: Cross multiply
    9,920.89x = 13,691.46 × 7,232.77
  4. Step 4: Simplify right side
    9,920.89x = 99,027,181.14
  5. Step 5: Solve for x
    x = 99,027,181.14/9,920.89
  6. Step 6: Final answer
    x = 9,981.68

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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.