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Finding the Fourth Proportional to 7,097.80, 10,644.90 and 2,934.40

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Solution

The fourth proportional to 7,097.80, 10,644.90 and 2,934.40 is: 4,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.80 : 10,644.90 = 2,934.40 : x
  2. Step 2: Convert to fraction form
    7,097.80/10,644.90 = 2,934.40/x
  3. Step 3: Cross multiply
    7,097.80x = 10,644.90 × 2,934.40
  4. Step 4: Simplify right side
    7,097.80x = 31,236,394.56
  5. Step 5: Solve for x
    x = 31,236,394.56/7,097.80
  6. Step 6: Final answer
    x = 4,400.86

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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.