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Finding the Fourth Proportional to 6,775.75, 9,329.75 and 5,931.73

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Solution

The fourth proportional to 6,775.75, 9,329.75 and 5,931.73 is: 8,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.75 : 9,329.75 = 5,931.73 : x
  2. Step 2: Convert to fraction form
    6,775.75/9,329.75 = 5,931.73/x
  3. Step 3: Cross multiply
    6,775.75x = 9,329.75 × 5,931.73
  4. Step 4: Simplify right side
    6,775.75x = 55,341,557.97
  5. Step 5: Solve for x
    x = 55,341,557.97/6,775.75
  6. Step 6: Final answer
    x = 8,167.59

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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.