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Finding the Fourth Proportional to 24,751.68, 37,129.92 and 7,216.80

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Solution

The fourth proportional to 24,751.68, 37,129.92 and 7,216.80 is: 10,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.68 : 37,129.92 = 7,216.80 : x
  2. Step 2: Convert to fraction form
    24,751.68/37,129.92 = 7,216.80/x
  3. Step 3: Cross multiply
    24,751.68x = 37,129.92 × 7,216.80
  4. Step 4: Simplify right side
    24,751.68x = 267,959,206.66
  5. Step 5: Solve for x
    x = 267,959,206.66/24,751.68
  6. Step 6: Final answer
    x = 10,825.90

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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.