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Finding the Fourth Proportional to 8,571.72, 12,852.90 and 8,002.20

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Solution

The fourth proportional to 8,571.72, 12,852.90 and 8,002.20 is: 11,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.72 : 12,852.90 = 8,002.20 : x
  2. Step 2: Convert to fraction form
    8,571.72/12,852.90 = 8,002.20/x
  3. Step 3: Cross multiply
    8,571.72x = 12,852.90 × 8,002.20
  4. Step 4: Simplify right side
    8,571.72x = 102,851,476.38
  5. Step 5: Solve for x
    x = 102,851,476.38/8,571.72
  6. Step 6: Final answer
    x = 11,998.93

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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.