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Finding the Fourth Proportional to 6,882.93, 9,497.52 and 4,050

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Solution

The fourth proportional to 6,882.93, 9,497.52 and 4,050 is: 5,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.93 : 9,497.52 = 4,050 : x
  2. Step 2: Convert to fraction form
    6,882.93/9,497.52 = 4,050/x
  3. Step 3: Cross multiply
    6,882.93x = 9,497.52 × 4,050
  4. Step 4: Simplify right side
    6,882.93x = 38,464,956
  5. Step 5: Solve for x
    x = 38,464,956/6,882.93
  6. Step 6: Final answer
    x = 5,588.46

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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.