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Finding the Fourth Proportional to 24,371.57, 36,558.65 and 6,842.77

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Solution

The fourth proportional to 24,371.57, 36,558.65 and 6,842.77 is: 10,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.57 : 36,558.65 = 6,842.77 : x
  2. Step 2: Convert to fraction form
    24,371.57/36,558.65 = 6,842.77/x
  3. Step 3: Cross multiply
    24,371.57x = 36,558.65 × 6,842.77
  4. Step 4: Simplify right side
    24,371.57x = 250,162,359.17
  5. Step 5: Solve for x
    x = 250,162,359.17/24,371.57
  6. Step 6: Final answer
    x = 10,264.51

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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.