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Finding the Fourth Proportional to 13,842.66, 20,770.08 and 7,267.32

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Solution

The fourth proportional to 13,842.66, 20,770.08 and 7,267.32 is: 10,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.66 : 20,770.08 = 7,267.32 : x
  2. Step 2: Convert to fraction form
    13,842.66/20,770.08 = 7,267.32/x
  3. Step 3: Cross multiply
    13,842.66x = 20,770.08 × 7,267.32
  4. Step 4: Simplify right side
    13,842.66x = 150,942,817.79
  5. Step 5: Solve for x
    x = 150,942,817.79/13,842.66
  6. Step 6: Final answer
    x = 10,904.18

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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.