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Finding the Fourth Proportional to 24,275.52, 36,422 and 8,482.84

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Solution

The fourth proportional to 24,275.52, 36,422 and 8,482.84 is: 12,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.52 : 36,422 = 8,482.84 : x
  2. Step 2: Convert to fraction form
    24,275.52/36,422 = 8,482.84/x
  3. Step 3: Cross multiply
    24,275.52x = 36,422 × 8,482.84
  4. Step 4: Simplify right side
    24,275.52x = 308,961,998.48
  5. Step 5: Solve for x
    x = 308,961,998.48/24,275.52
  6. Step 6: Final answer
    x = 12,727.31

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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.