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Finding the Fourth Proportional to 7,010, 10,517.02 and 2,079.74

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Solution

The fourth proportional to 7,010, 10,517.02 and 2,079.74 is: 3,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010 : 10,517.02 = 2,079.74 : x
  2. Step 2: Convert to fraction form
    7,010/10,517.02 = 2,079.74/x
  3. Step 3: Cross multiply
    7,010x = 10,517.02 × 2,079.74
  4. Step 4: Simplify right side
    7,010x = 21,872,667.17
  5. Step 5: Solve for x
    x = 21,872,667.17/7,010
  6. Step 6: Final answer
    x = 3,120.21

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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.