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Finding the Fourth Proportional to 7,310.92, 10,970.70 and 2,697.16

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Solution

The fourth proportional to 7,310.92, 10,970.70 and 2,697.16 is: 4,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.92 : 10,970.70 = 2,697.16 : x
  2. Step 2: Convert to fraction form
    7,310.92/10,970.70 = 2,697.16/x
  3. Step 3: Cross multiply
    7,310.92x = 10,970.70 × 2,697.16
  4. Step 4: Simplify right side
    7,310.92x = 29,589,733.21
  5. Step 5: Solve for x
    x = 29,589,733.21/7,310.92
  6. Step 6: Final answer
    x = 4,047.33

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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.