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Finding the Fourth Proportional to 16,314.84, 24,454.85 and 6,449.85

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Solution

The fourth proportional to 16,314.84, 24,454.85 and 6,449.85 is: 9,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.84 : 24,454.85 = 6,449.85 : x
  2. Step 2: Convert to fraction form
    16,314.84/24,454.85 = 6,449.85/x
  3. Step 3: Cross multiply
    16,314.84x = 24,454.85 × 6,449.85
  4. Step 4: Simplify right side
    16,314.84x = 157,730,082.02
  5. Step 5: Solve for x
    x = 157,730,082.02/16,314.84
  6. Step 6: Final answer
    x = 9,667.89

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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.