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Finding the Fourth Proportional to 24,790.92, 37,178.49 and 8,147.10

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Solution

The fourth proportional to 24,790.92, 37,178.49 and 8,147.10 is: 12,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,790.92 : 37,178.49 = 8,147.10 : x
  2. Step 2: Convert to fraction form
    24,790.92/37,178.49 = 8,147.10/x
  3. Step 3: Cross multiply
    24,790.92x = 37,178.49 × 8,147.10
  4. Step 4: Simplify right side
    24,790.92x = 302,896,875.88
  5. Step 5: Solve for x
    x = 302,896,875.88/24,790.92
  6. Step 6: Final answer
    x = 12,218.06

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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.