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Finding the Fourth Proportional to 6,753.30, 9,314.34 and 5,865.54

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Solution

The fourth proportional to 6,753.30, 9,314.34 and 5,865.54 is: 8,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.30 : 9,314.34 = 5,865.54 : x
  2. Step 2: Convert to fraction form
    6,753.30/9,314.34 = 5,865.54/x
  3. Step 3: Cross multiply
    6,753.30x = 9,314.34 × 5,865.54
  4. Step 4: Simplify right side
    6,753.30x = 54,633,633.84
  5. Step 5: Solve for x
    x = 54,633,633.84/6,753.30
  6. Step 6: Final answer
    x = 8,089.92

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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.