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Finding the Fourth Proportional to 7,747.64, 10,691.53 and 4,391.54

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Solution

The fourth proportional to 7,747.64, 10,691.53 and 4,391.54 is: 6,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.64 : 10,691.53 = 4,391.54 : x
  2. Step 2: Convert to fraction form
    7,747.64/10,691.53 = 4,391.54/x
  3. Step 3: Cross multiply
    7,747.64x = 10,691.53 × 4,391.54
  4. Step 4: Simplify right side
    7,747.64x = 46,952,281.66
  5. Step 5: Solve for x
    x = 46,952,281.66/7,747.64
  6. Step 6: Final answer
    x = 6,060.20

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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.