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Finding the Fourth Proportional to 7,314.50, 10,971.84 and 2,697.50

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Solution

The fourth proportional to 7,314.50, 10,971.84 and 2,697.50 is: 4,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.50 : 10,971.84 = 2,697.50 : x
  2. Step 2: Convert to fraction form
    7,314.50/10,971.84 = 2,697.50/x
  3. Step 3: Cross multiply
    7,314.50x = 10,971.84 × 2,697.50
  4. Step 4: Simplify right side
    7,314.50x = 29,596,538.40
  5. Step 5: Solve for x
    x = 29,596,538.40/7,314.50
  6. Step 6: Final answer
    x = 4,046.28

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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.