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Finding the Fourth Proportional to 6,713.75, 9,267.47 and 5,765.74

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Solution

The fourth proportional to 6,713.75, 9,267.47 and 5,765.74 is: 7,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.75 : 9,267.47 = 5,765.74 : x
  2. Step 2: Convert to fraction form
    6,713.75/9,267.47 = 5,765.74/x
  3. Step 3: Cross multiply
    6,713.75x = 9,267.47 × 5,765.74
  4. Step 4: Simplify right side
    6,713.75x = 53,433,824.53
  5. Step 5: Solve for x
    x = 53,433,824.53/6,713.75
  6. Step 6: Final answer
    x = 7,958.86

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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.