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Finding the Fourth Proportional to 13,881.60, 20,822.40 and 9,475.20

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Solution

The fourth proportional to 13,881.60, 20,822.40 and 9,475.20 is: 14,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.60 : 20,822.40 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    13,881.60/20,822.40 = 9,475.20/x
  3. Step 3: Cross multiply
    13,881.60x = 20,822.40 × 9,475.20
  4. Step 4: Simplify right side
    13,881.60x = 197,296,404.48
  5. Step 5: Solve for x
    x = 197,296,404.48/13,881.60
  6. Step 6: Final answer
    x = 14,212.80

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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.