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Finding the Fourth Proportional to 24,507.65, 36,761.49 and 6,977.48

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Solution

The fourth proportional to 24,507.65, 36,761.49 and 6,977.48 is: 10,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.65 : 36,761.49 = 6,977.48 : x
  2. Step 2: Convert to fraction form
    24,507.65/36,761.49 = 6,977.48/x
  3. Step 3: Cross multiply
    24,507.65x = 36,761.49 × 6,977.48
  4. Step 4: Simplify right side
    24,507.65x = 256,502,377.44
  5. Step 5: Solve for x
    x = 256,502,377.44/24,507.65
  6. Step 6: Final answer
    x = 10,466.22

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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.