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Finding the Fourth Proportional to 7,012.76, 9,677.13 and 3,869

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Solution

The fourth proportional to 7,012.76, 9,677.13 and 3,869 is: 5,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.76 : 9,677.13 = 3,869 : x
  2. Step 2: Convert to fraction form
    7,012.76/9,677.13 = 3,869/x
  3. Step 3: Cross multiply
    7,012.76x = 9,677.13 × 3,869
  4. Step 4: Simplify right side
    7,012.76x = 37,440,815.97
  5. Step 5: Solve for x
    x = 37,440,815.97/7,012.76
  6. Step 6: Final answer
    x = 5,338.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.