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Finding the Fourth Proportional to 8,564.10, 12,846.15 and 8,223.90

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Solution

The fourth proportional to 8,564.10, 12,846.15 and 8,223.90 is: 12,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.10 : 12,846.15 = 8,223.90 : x
  2. Step 2: Convert to fraction form
    8,564.10/12,846.15 = 8,223.90/x
  3. Step 3: Cross multiply
    8,564.10x = 12,846.15 × 8,223.90
  4. Step 4: Simplify right side
    8,564.10x = 105,645,452.99
  5. Step 5: Solve for x
    x = 105,645,452.99/8,564.10
  6. Step 6: Final answer
    x = 12,335.85

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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.