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Finding the Fourth Proportional to 7,314.72, 10,970.11 and 2,049.42

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Solution

The fourth proportional to 7,314.72, 10,970.11 and 2,049.42 is: 3,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.72 : 10,970.11 = 2,049.42 : x
  2. Step 2: Convert to fraction form
    7,314.72/10,970.11 = 2,049.42/x
  3. Step 3: Cross multiply
    7,314.72x = 10,970.11 × 2,049.42
  4. Step 4: Simplify right side
    7,314.72x = 22,482,362.84
  5. Step 5: Solve for x
    x = 22,482,362.84/7,314.72
  6. Step 6: Final answer
    x = 3,073.58

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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.