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Finding the Fourth Proportional to 8,384.75, 12,577.13 and 2,228.75

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Solution

The fourth proportional to 8,384.75, 12,577.13 and 2,228.75 is: 3,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.75 : 12,577.13 = 2,228.75 : x
  2. Step 2: Convert to fraction form
    8,384.75/12,577.13 = 2,228.75/x
  3. Step 3: Cross multiply
    8,384.75x = 12,577.13 × 2,228.75
  4. Step 4: Simplify right side
    8,384.75x = 28,031,278.49
  5. Step 5: Solve for x
    x = 28,031,278.49/8,384.75
  6. Step 6: Final answer
    x = 3,343.13

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Similar ratio
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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.