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Finding the Fourth Proportional to 6,762.92, 9,331.17 and 3,778.13

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Solution

The fourth proportional to 6,762.92, 9,331.17 and 3,778.13 is: 5,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.92 : 9,331.17 = 3,778.13 : x
  2. Step 2: Convert to fraction form
    6,762.92/9,331.17 = 3,778.13/x
  3. Step 3: Cross multiply
    6,762.92x = 9,331.17 × 3,778.13
  4. Step 4: Simplify right side
    6,762.92x = 35,254,326.66
  5. Step 5: Solve for x
    x = 35,254,326.66/6,762.92
  6. Step 6: Final answer
    x = 5,212.89

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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.