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Finding the Fourth Proportional to 24,641, 36,967.35 and 8,001.08

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Solution

The fourth proportional to 24,641, 36,967.35 and 8,001.08 is: 12,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641 : 36,967.35 = 8,001.08 : x
  2. Step 2: Convert to fraction form
    24,641/36,967.35 = 8,001.08/x
  3. Step 3: Cross multiply
    24,641x = 36,967.35 × 8,001.08
  4. Step 4: Simplify right side
    24,641x = 295,778,724.74
  5. Step 5: Solve for x
    x = 295,778,724.74/24,641
  6. Step 6: Final answer
    x = 12,003.52

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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.