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Finding the Fourth Proportional to 10,675.70, 15,977.10 and 9,800.90

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Solution

The fourth proportional to 10,675.70, 15,977.10 and 9,800.90 is: 14,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.70 : 15,977.10 = 9,800.90 : x
  2. Step 2: Convert to fraction form
    10,675.70/15,977.10 = 9,800.90/x
  3. Step 3: Cross multiply
    10,675.70x = 15,977.10 × 9,800.90
  4. Step 4: Simplify right side
    10,675.70x = 156,589,959.39
  5. Step 5: Solve for x
    x = 156,589,959.39/10,675.70
  6. Step 6: Final answer
    x = 14,667.89

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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.