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Finding the Fourth Proportional to 13,902.76, 20,829.03 and 9,211.65

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Solution

The fourth proportional to 13,902.76, 20,829.03 and 9,211.65 is: 13,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.76 : 20,829.03 = 9,211.65 : x
  2. Step 2: Convert to fraction form
    13,902.76/20,829.03 = 9,211.65/x
  3. Step 3: Cross multiply
    13,902.76x = 20,829.03 × 9,211.65
  4. Step 4: Simplify right side
    13,902.76x = 191,869,734.20
  5. Step 5: Solve for x
    x = 191,869,734.20/13,902.76
  6. Step 6: Final answer
    x = 13,800.84

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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.