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Finding the Fourth Proportional to 9,228, 12,735.60 and 5,691.12

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Solution

The fourth proportional to 9,228, 12,735.60 and 5,691.12 is: 7,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228 : 12,735.60 = 5,691.12 : x
  2. Step 2: Convert to fraction form
    9,228/12,735.60 = 5,691.12/x
  3. Step 3: Cross multiply
    9,228x = 12,735.60 × 5,691.12
  4. Step 4: Simplify right side
    9,228x = 72,479,827.87
  5. Step 5: Solve for x
    x = 72,479,827.87/9,228
  6. Step 6: Final answer
    x = 7,854.34

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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.