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Finding the Fourth Proportional to 6,354.56, 8,770.21 and 3,702.83

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Solution

The fourth proportional to 6,354.56, 8,770.21 and 3,702.83 is: 5,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.56 : 8,770.21 = 3,702.83 : x
  2. Step 2: Convert to fraction form
    6,354.56/8,770.21 = 3,702.83/x
  3. Step 3: Cross multiply
    6,354.56x = 8,770.21 × 3,702.83
  4. Step 4: Simplify right side
    6,354.56x = 32,474,543.59
  5. Step 5: Solve for x
    x = 32,474,543.59/6,354.56
  6. Step 6: Final answer
    x = 5,110.43

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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.