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Finding the Fourth Proportional to 24,644.10, 36,971.55 and 8,001.30

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Solution

The fourth proportional to 24,644.10, 36,971.55 and 8,001.30 is: 12,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.10 : 36,971.55 = 8,001.30 : x
  2. Step 2: Convert to fraction form
    24,644.10/36,971.55 = 8,001.30/x
  3. Step 3: Cross multiply
    24,644.10x = 36,971.55 × 8,001.30
  4. Step 4: Simplify right side
    24,644.10x = 295,820,463.02
  5. Step 5: Solve for x
    x = 295,820,463.02/24,644.10
  6. Step 6: Final answer
    x = 12,003.70

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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.