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Finding the Fourth Proportional to 8,874.96, 13,365.42 and 7,734.48

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Solution

The fourth proportional to 8,874.96, 13,365.42 and 7,734.48 is: 11,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.96 : 13,365.42 = 7,734.48 : x
  2. Step 2: Convert to fraction form
    8,874.96/13,365.42 = 7,734.48/x
  3. Step 3: Cross multiply
    8,874.96x = 13,365.42 × 7,734.48
  4. Step 4: Simplify right side
    8,874.96x = 103,374,573.68
  5. Step 5: Solve for x
    x = 103,374,573.68/8,874.96
  6. Step 6: Final answer
    x = 11,647.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.