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Finding the Fourth Proportional to 6,924.05, 9,560.63 and 5,575.38

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Solution

The fourth proportional to 6,924.05, 9,560.63 and 5,575.38 is: 7,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.05 : 9,560.63 = 5,575.38 : x
  2. Step 2: Convert to fraction form
    6,924.05/9,560.63 = 5,575.38/x
  3. Step 3: Cross multiply
    6,924.05x = 9,560.63 × 5,575.38
  4. Step 4: Simplify right side
    6,924.05x = 53,304,097.49
  5. Step 5: Solve for x
    x = 53,304,097.49/6,924.05
  6. Step 6: Final answer
    x = 7,698.40

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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.