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Finding the Fourth Proportional to 10,902.70, 16,354.05 and 9,809.20

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Solution

The fourth proportional to 10,902.70, 16,354.05 and 9,809.20 is: 14,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.70 : 16,354.05 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    10,902.70/16,354.05 = 9,809.20/x
  3. Step 3: Cross multiply
    10,902.70x = 16,354.05 × 9,809.20
  4. Step 4: Simplify right side
    10,902.70x = 160,420,147.26
  5. Step 5: Solve for x
    x = 160,420,147.26/10,902.70
  6. Step 6: Final answer
    x = 14,713.80

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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.