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Finding the Fourth Proportional to 24,600.78, 36,901.14 and 8,184.78

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Solution

The fourth proportional to 24,600.78, 36,901.14 and 8,184.78 is: 12,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.78 : 36,901.14 = 8,184.78 : x
  2. Step 2: Convert to fraction form
    24,600.78/36,901.14 = 8,184.78/x
  3. Step 3: Cross multiply
    24,600.78x = 36,901.14 × 8,184.78
  4. Step 4: Simplify right side
    24,600.78x = 302,027,712.65
  5. Step 5: Solve for x
    x = 302,027,712.65/24,600.78
  6. Step 6: Final answer
    x = 12,277.16

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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.