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Finding the Fourth Proportional to 7,452.14, 10,284.99 and 4,972.46

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Solution

The fourth proportional to 7,452.14, 10,284.99 and 4,972.46 is: 6,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.14 : 10,284.99 = 4,972.46 : x
  2. Step 2: Convert to fraction form
    7,452.14/10,284.99 = 4,972.46/x
  3. Step 3: Cross multiply
    7,452.14x = 10,284.99 × 4,972.46
  4. Step 4: Simplify right side
    7,452.14x = 51,141,701.38
  5. Step 5: Solve for x
    x = 51,141,701.38/7,452.14
  6. Step 6: Final answer
    x = 6,862.69

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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.