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Finding the Fourth Proportional to 24,641.36, 36,965.12 and 9,646.55

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Solution

The fourth proportional to 24,641.36, 36,965.12 and 9,646.55 is: 14,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.36 : 36,965.12 = 9,646.55 : x
  2. Step 2: Convert to fraction form
    24,641.36/36,965.12 = 9,646.55/x
  3. Step 3: Cross multiply
    24,641.36x = 36,965.12 × 9,646.55
  4. Step 4: Simplify right side
    24,641.36x = 356,585,699.54
  5. Step 5: Solve for x
    x = 356,585,699.54/24,641.36
  6. Step 6: Final answer
    x = 14,471.02

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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.