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Finding the Fourth Proportional to 16,524.84, 24,787.14 and 6,657.14

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Solution

The fourth proportional to 16,524.84, 24,787.14 and 6,657.14 is: 9,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.84 : 24,787.14 = 6,657.14 : x
  2. Step 2: Convert to fraction form
    16,524.84/24,787.14 = 6,657.14/x
  3. Step 3: Cross multiply
    16,524.84x = 24,787.14 × 6,657.14
  4. Step 4: Simplify right side
    16,524.84x = 165,011,377.48
  5. Step 5: Solve for x
    x = 165,011,377.48/16,524.84
  6. Step 6: Final answer
    x = 9,985.66

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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.