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Finding the Fourth Proportional to 7,014, 10,522.10 and 2,083.14

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Solution

The fourth proportional to 7,014, 10,522.10 and 2,083.14 is: 3,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 10,522.10 = 2,083.14 : x
  2. Step 2: Convert to fraction form
    7,014/10,522.10 = 2,083.14/x
  3. Step 3: Cross multiply
    7,014x = 10,522.10 × 2,083.14
  4. Step 4: Simplify right side
    7,014x = 21,919,007.39
  5. Step 5: Solve for x
    x = 21,919,007.39/7,014
  6. Step 6: Final answer
    x = 3,125.04

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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.