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Finding the Fourth Proportional to 7,015, 9,680.71 and 3,871.18

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Solution

The fourth proportional to 7,015, 9,680.71 and 3,871.18 is: 5,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015 : 9,680.71 = 3,871.18 : x
  2. Step 2: Convert to fraction form
    7,015/9,680.71 = 3,871.18/x
  3. Step 3: Cross multiply
    7,015x = 9,680.71 × 3,871.18
  4. Step 4: Simplify right side
    7,015x = 37,475,770.94
  5. Step 5: Solve for x
    x = 37,475,770.94/7,015
  6. Step 6: Final answer
    x = 5,342.23

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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.