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Finding the Fourth Proportional to 5,034.69, 7,552.05 and 1,747.74

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Solution

The fourth proportional to 5,034.69, 7,552.05 and 1,747.74 is: 2,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.69 : 7,552.05 = 1,747.74 : x
  2. Step 2: Convert to fraction form
    5,034.69/7,552.05 = 1,747.74/x
  3. Step 3: Cross multiply
    5,034.69x = 7,552.05 × 1,747.74
  4. Step 4: Simplify right side
    5,034.69x = 13,199,019.87
  5. Step 5: Solve for x
    x = 13,199,019.87/5,034.69
  6. Step 6: Final answer
    x = 2,621.62

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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.