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Finding the Fourth Proportional to 5,247.24, 7,829.92 and 4,781.48

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Solution

The fourth proportional to 5,247.24, 7,829.92 and 4,781.48 is: 7,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.24 : 7,829.92 = 4,781.48 : x
  2. Step 2: Convert to fraction form
    5,247.24/7,829.92 = 4,781.48/x
  3. Step 3: Cross multiply
    5,247.24x = 7,829.92 × 4,781.48
  4. Step 4: Simplify right side
    5,247.24x = 37,438,605.88
  5. Step 5: Solve for x
    x = 37,438,605.88/5,247.24
  6. Step 6: Final answer
    x = 7,134.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.