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Finding the Fourth Proportional to 13,714.60, 20,571.90 and 7,882.60

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Solution

The fourth proportional to 13,714.60, 20,571.90 and 7,882.60 is: 11,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.60 : 20,571.90 = 7,882.60 : x
  2. Step 2: Convert to fraction form
    13,714.60/20,571.90 = 7,882.60/x
  3. Step 3: Cross multiply
    13,714.60x = 20,571.90 × 7,882.60
  4. Step 4: Simplify right side
    13,714.60x = 162,160,058.94
  5. Step 5: Solve for x
    x = 162,160,058.94/13,714.60
  6. Step 6: Final answer
    x = 11,823.90

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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.