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Finding the Fourth Proportional to 24,640.56, 36,969 and 8,001.12

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Solution

The fourth proportional to 24,640.56, 36,969 and 8,001.12 is: 12,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640.56 : 36,969 = 8,001.12 : x
  2. Step 2: Convert to fraction form
    24,640.56/36,969 = 8,001.12/x
  3. Step 3: Cross multiply
    24,640.56x = 36,969 × 8,001.12
  4. Step 4: Simplify right side
    24,640.56x = 295,793,405.28
  5. Step 5: Solve for x
    x = 295,793,405.28/24,640.56
  6. Step 6: Final answer
    x = 12,004.33

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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.