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Finding the Fourth Proportional to 9,806.20, 14,709.30 and 9,230.20

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Solution

The fourth proportional to 9,806.20, 14,709.30 and 9,230.20 is: 13,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.20 : 14,709.30 = 9,230.20 : x
  2. Step 2: Convert to fraction form
    9,806.20/14,709.30 = 9,230.20/x
  3. Step 3: Cross multiply
    9,806.20x = 14,709.30 × 9,230.20
  4. Step 4: Simplify right side
    9,806.20x = 135,769,780.86
  5. Step 5: Solve for x
    x = 135,769,780.86/9,806.20
  6. Step 6: Final answer
    x = 13,845.30

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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.