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Finding the Fourth Proportional to 13,833.84, 20,765.16 and 8,001.84

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Solution

The fourth proportional to 13,833.84, 20,765.16 and 8,001.84 is: 12,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.84 : 20,765.16 = 8,001.84 : x
  2. Step 2: Convert to fraction form
    13,833.84/20,765.16 = 8,001.84/x
  3. Step 3: Cross multiply
    13,833.84x = 20,765.16 × 8,001.84
  4. Step 4: Simplify right side
    13,833.84x = 166,159,487.89
  5. Step 5: Solve for x
    x = 166,159,487.89/13,833.84
  6. Step 6: Final answer
    x = 12,011.09

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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.