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Finding the Fourth Proportional to 16,624.31, 24,941.16 and 6,770.66

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Solution

The fourth proportional to 16,624.31, 24,941.16 and 6,770.66 is: 10,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.31 : 24,941.16 = 6,770.66 : x
  2. Step 2: Convert to fraction form
    16,624.31/24,941.16 = 6,770.66/x
  3. Step 3: Cross multiply
    16,624.31x = 24,941.16 × 6,770.66
  4. Step 4: Simplify right side
    16,624.31x = 168,868,151.33
  5. Step 5: Solve for x
    x = 168,868,151.33/16,624.31
  6. Step 6: Final answer
    x = 10,157.90

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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.