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Finding the Fourth Proportional to 24,641.30, 36,970.14 and 8,001.87

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Solution

The fourth proportional to 24,641.30, 36,970.14 and 8,001.87 is: 12,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.30 : 36,970.14 = 8,001.87 : x
  2. Step 2: Convert to fraction form
    24,641.30/36,970.14 = 8,001.87/x
  3. Step 3: Cross multiply
    24,641.30x = 36,970.14 × 8,001.87
  4. Step 4: Simplify right side
    24,641.30x = 295,830,214.15
  5. Step 5: Solve for x
    x = 295,830,214.15/24,641.30
  6. Step 6: Final answer
    x = 12,005.47

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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.