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Finding the Fourth Proportional to 6,774.32, 9,347.70 and 3,942.61

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Solution

The fourth proportional to 6,774.32, 9,347.70 and 3,942.61 is: 5,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.32 : 9,347.70 = 3,942.61 : x
  2. Step 2: Convert to fraction form
    6,774.32/9,347.70 = 3,942.61/x
  3. Step 3: Cross multiply
    6,774.32x = 9,347.70 × 3,942.61
  4. Step 4: Simplify right side
    6,774.32x = 36,854,335.50
  5. Step 5: Solve for x
    x = 36,854,335.50/6,774.32
  6. Step 6: Final answer
    x = 5,440.30

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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.