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Finding the Fourth Proportional to 24,507.80, 36,761.92 and 6,977.62

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Solution

The fourth proportional to 24,507.80, 36,761.92 and 6,977.62 is: 10,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.80 : 36,761.92 = 6,977.62 : x
  2. Step 2: Convert to fraction form
    24,507.80/36,761.92 = 6,977.62/x
  3. Step 3: Cross multiply
    24,507.80x = 36,761.92 × 6,977.62
  4. Step 4: Simplify right side
    24,507.80x = 256,510,708.23
  5. Step 5: Solve for x
    x = 256,510,708.23/24,507.80
  6. Step 6: Final answer
    x = 10,466.49

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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.