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Finding the Fourth Proportional to 9,951.55, 13,735.11 and 5,705.46

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Solution

The fourth proportional to 9,951.55, 13,735.11 and 5,705.46 is: 7,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.55 : 13,735.11 = 5,705.46 : x
  2. Step 2: Convert to fraction form
    9,951.55/13,735.11 = 5,705.46/x
  3. Step 3: Cross multiply
    9,951.55x = 13,735.11 × 5,705.46
  4. Step 4: Simplify right side
    9,951.55x = 78,365,120.70
  5. Step 5: Solve for x
    x = 78,365,120.70/9,951.55
  6. Step 6: Final answer
    x = 7,874.66

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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.