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Finding the Fourth Proportional to 15,045, 22,561.92 and 6,716.76

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Solution

The fourth proportional to 15,045, 22,561.92 and 6,716.76 is: 10,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045 : 22,561.92 = 6,716.76 : x
  2. Step 2: Convert to fraction form
    15,045/22,561.92 = 6,716.76/x
  3. Step 3: Cross multiply
    15,045x = 22,561.92 × 6,716.76
  4. Step 4: Simplify right side
    15,045x = 151,543,001.78
  5. Step 5: Solve for x
    x = 151,543,001.78/15,045
  6. Step 6: Final answer
    x = 10,072.65

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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.