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Finding the Fourth Proportional to 5,169.48, 7,754.13 and 1,471.74

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Solution

The fourth proportional to 5,169.48, 7,754.13 and 1,471.74 is: 2,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.48 : 7,754.13 = 1,471.74 : x
  2. Step 2: Convert to fraction form
    5,169.48/7,754.13 = 1,471.74/x
  3. Step 3: Cross multiply
    5,169.48x = 7,754.13 × 1,471.74
  4. Step 4: Simplify right side
    5,169.48x = 11,412,063.29
  5. Step 5: Solve for x
    x = 11,412,063.29/5,169.48
  6. Step 6: Final answer
    x = 2,207.58

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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.