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Finding the Fourth Proportional to 8,184.90, 12,257.91 and 5,839.14

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Solution

The fourth proportional to 8,184.90, 12,257.91 and 5,839.14 is: 8,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.90 : 12,257.91 = 5,839.14 : x
  2. Step 2: Convert to fraction form
    8,184.90/12,257.91 = 5,839.14/x
  3. Step 3: Cross multiply
    8,184.90x = 12,257.91 × 5,839.14
  4. Step 4: Simplify right side
    8,184.90x = 71,575,652.60
  5. Step 5: Solve for x
    x = 71,575,652.60/8,184.90
  6. Step 6: Final answer
    x = 8,744.84

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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.