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Finding the Fourth Proportional to 8,020.98, 11,969.63 and 7,049.17

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Solution

The fourth proportional to 8,020.98, 11,969.63 and 7,049.17 is: 10,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.98 : 11,969.63 = 7,049.17 : x
  2. Step 2: Convert to fraction form
    8,020.98/11,969.63 = 7,049.17/x
  3. Step 3: Cross multiply
    8,020.98x = 11,969.63 × 7,049.17
  4. Step 4: Simplify right side
    8,020.98x = 84,375,956.71
  5. Step 5: Solve for x
    x = 84,375,956.71/8,020.98
  6. Step 6: Final answer
    x = 10,519.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.