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Finding the Fourth Proportional to 8,809.25, 13,214.10 and 2,569.11

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Solution

The fourth proportional to 8,809.25, 13,214.10 and 2,569.11 is: 3,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.25 : 13,214.10 = 2,569.11 : x
  2. Step 2: Convert to fraction form
    8,809.25/13,214.10 = 2,569.11/x
  3. Step 3: Cross multiply
    8,809.25x = 13,214.10 × 2,569.11
  4. Step 4: Simplify right side
    8,809.25x = 33,948,436.53
  5. Step 5: Solve for x
    x = 33,948,436.53/8,809.25
  6. Step 6: Final answer
    x = 3,853.73

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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.