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Finding the Fourth Proportional to 16,415.70, 24,616.35 and 6,551.70

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Solution

The fourth proportional to 16,415.70, 24,616.35 and 6,551.70 is: 9,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.70 : 24,616.35 = 6,551.70 : x
  2. Step 2: Convert to fraction form
    16,415.70/24,616.35 = 6,551.70/x
  3. Step 3: Cross multiply
    16,415.70x = 24,616.35 × 6,551.70
  4. Step 4: Simplify right side
    16,415.70x = 161,278,940.30
  5. Step 5: Solve for x
    x = 161,278,940.30/16,415.70
  6. Step 6: Final answer
    x = 9,824.68

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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.