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Finding the Fourth Proportional to 8,671.68, 11,972.77 and 5,692.57

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Solution

The fourth proportional to 8,671.68, 11,972.77 and 5,692.57 is: 7,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.68 : 11,972.77 = 5,692.57 : x
  2. Step 2: Convert to fraction form
    8,671.68/11,972.77 = 5,692.57/x
  3. Step 3: Cross multiply
    8,671.68x = 11,972.77 × 5,692.57
  4. Step 4: Simplify right side
    8,671.68x = 68,155,787.16
  5. Step 5: Solve for x
    x = 68,155,787.16/8,671.68
  6. Step 6: Final answer
    x = 7,859.58

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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.