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Finding the Fourth Proportional to 24,624.84, 36,939.84 and 7,984.20

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Solution

The fourth proportional to 24,624.84, 36,939.84 and 7,984.20 is: 11,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624.84 : 36,939.84 = 7,984.20 : x
  2. Step 2: Convert to fraction form
    24,624.84/36,939.84 = 7,984.20/x
  3. Step 3: Cross multiply
    24,624.84x = 36,939.84 × 7,984.20
  4. Step 4: Simplify right side
    24,624.84x = 294,935,070.53
  5. Step 5: Solve for x
    x = 294,935,070.53/24,624.84
  6. Step 6: Final answer
    x = 11,977.14

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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.