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Finding the Fourth Proportional to 24,382.30, 36,574.72 and 7,743.64

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Solution

The fourth proportional to 24,382.30, 36,574.72 and 7,743.64 is: 11,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.30 : 36,574.72 = 7,743.64 : x
  2. Step 2: Convert to fraction form
    24,382.30/36,574.72 = 7,743.64/x
  3. Step 3: Cross multiply
    24,382.30x = 36,574.72 × 7,743.64
  4. Step 4: Simplify right side
    24,382.30x = 283,221,464.78
  5. Step 5: Solve for x
    x = 283,221,464.78/24,382.30
  6. Step 6: Final answer
    x = 11,615.86

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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.