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Finding the Fourth Proportional to 7,701.96, 11,572.42 and 7,390.57

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Solution

The fourth proportional to 7,701.96, 11,572.42 and 7,390.57 is: 11,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.96 : 11,572.42 = 7,390.57 : x
  2. Step 2: Convert to fraction form
    7,701.96/11,572.42 = 7,390.57/x
  3. Step 3: Cross multiply
    7,701.96x = 11,572.42 × 7,390.57
  4. Step 4: Simplify right side
    7,701.96x = 85,526,735.68
  5. Step 5: Solve for x
    x = 85,526,735.68/7,701.96
  6. Step 6: Final answer
    x = 11,104.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.