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Finding the Fourth Proportional to 7,074.81, 9,764.42 and 4,092.39

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Solution

The fourth proportional to 7,074.81, 9,764.42 and 4,092.39 is: 5,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.81 : 9,764.42 = 4,092.39 : x
  2. Step 2: Convert to fraction form
    7,074.81/9,764.42 = 4,092.39/x
  3. Step 3: Cross multiply
    7,074.81x = 9,764.42 × 4,092.39
  4. Step 4: Simplify right side
    7,074.81x = 39,959,794.30
  5. Step 5: Solve for x
    x = 39,959,794.30/7,074.81
  6. Step 6: Final answer
    x = 5,648.18

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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.