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Finding the Fourth Proportional to 6,882.48, 9,482.22 and 5,173.38

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Solution

The fourth proportional to 6,882.48, 9,482.22 and 5,173.38 is: 7,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.48 : 9,482.22 = 5,173.38 : x
  2. Step 2: Convert to fraction form
    6,882.48/9,482.22 = 5,173.38/x
  3. Step 3: Cross multiply
    6,882.48x = 9,482.22 × 5,173.38
  4. Step 4: Simplify right side
    6,882.48x = 49,055,127.30
  5. Step 5: Solve for x
    x = 49,055,127.30/6,882.48
  6. Step 6: Final answer
    x = 7,127.54

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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.