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Finding the Fourth Proportional to 24,926.28, 37,375.41 and 8,277.40

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Solution

The fourth proportional to 24,926.28, 37,375.41 and 8,277.40 is: 12,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926.28 : 37,375.41 = 8,277.40 : x
  2. Step 2: Convert to fraction form
    24,926.28/37,375.41 = 8,277.40/x
  3. Step 3: Cross multiply
    24,926.28x = 37,375.41 × 8,277.40
  4. Step 4: Simplify right side
    24,926.28x = 309,371,218.73
  5. Step 5: Solve for x
    x = 309,371,218.73/24,926.28
  6. Step 6: Final answer
    x = 12,411.45

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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.