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Finding the Fourth Proportional to 24,290.83, 36,438.65 and 6,760.65

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Solution

The fourth proportional to 24,290.83, 36,438.65 and 6,760.65 is: 10,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.83 : 36,438.65 = 6,760.65 : x
  2. Step 2: Convert to fraction form
    24,290.83/36,438.65 = 6,760.65/x
  3. Step 3: Cross multiply
    24,290.83x = 36,438.65 × 6,760.65
  4. Step 4: Simplify right side
    24,290.83x = 246,348,959.12
  5. Step 5: Solve for x
    x = 246,348,959.12/24,290.83
  6. Step 6: Final answer
    x = 10,141.64

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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.