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Finding the Fourth Proportional to 10,900.80, 16,318.80 and 9,734.40

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Solution

The fourth proportional to 10,900.80, 16,318.80 and 9,734.40 is: 14,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.80 : 16,318.80 = 9,734.40 : x
  2. Step 2: Convert to fraction form
    10,900.80/16,318.80 = 9,734.40/x
  3. Step 3: Cross multiply
    10,900.80x = 16,318.80 × 9,734.40
  4. Step 4: Simplify right side
    10,900.80x = 158,853,726.72
  5. Step 5: Solve for x
    x = 158,853,726.72/10,900.80
  6. Step 6: Final answer
    x = 14,572.67

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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.