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Finding the Fourth Proportional to 7,172, 9,898.96 and 5,057.90

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Solution

The fourth proportional to 7,172, 9,898.96 and 5,057.90 is: 6,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172 : 9,898.96 = 5,057.90 : x
  2. Step 2: Convert to fraction form
    7,172/9,898.96 = 5,057.90/x
  3. Step 3: Cross multiply
    7,172x = 9,898.96 × 5,057.90
  4. Step 4: Simplify right side
    7,172x = 50,067,949.78
  5. Step 5: Solve for x
    x = 50,067,949.78/7,172
  6. Step 6: Final answer
    x = 6,981.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.