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Finding the Fourth Proportional to 5,614.57, 7,743.54 and 4,940.92

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Solution

The fourth proportional to 5,614.57, 7,743.54 and 4,940.92 is: 6,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.57 : 7,743.54 = 4,940.92 : x
  2. Step 2: Convert to fraction form
    5,614.57/7,743.54 = 4,940.92/x
  3. Step 3: Cross multiply
    5,614.57x = 7,743.54 × 4,940.92
  4. Step 4: Simplify right side
    5,614.57x = 38,260,211.66
  5. Step 5: Solve for x
    x = 38,260,211.66/5,614.57
  6. Step 6: Final answer
    x = 6,814.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.