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Finding the Fourth Proportional to 10,701.70, 16,016.10 and 9,826.90

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Solution

The fourth proportional to 10,701.70, 16,016.10 and 9,826.90 is: 14,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.70 : 16,016.10 = 9,826.90 : x
  2. Step 2: Convert to fraction form
    10,701.70/16,016.10 = 9,826.90/x
  3. Step 3: Cross multiply
    10,701.70x = 16,016.10 × 9,826.90
  4. Step 4: Simplify right side
    10,701.70x = 157,388,613.09
  5. Step 5: Solve for x
    x = 157,388,613.09/10,701.70
  6. Step 6: Final answer
    x = 14,706.88

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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.