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Finding the Fourth Proportional to 6,154.14, 9,272.75 and 5,082.51

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Solution

The fourth proportional to 6,154.14, 9,272.75 and 5,082.51 is: 7,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.14 : 9,272.75 = 5,082.51 : x
  2. Step 2: Convert to fraction form
    6,154.14/9,272.75 = 5,082.51/x
  3. Step 3: Cross multiply
    6,154.14x = 9,272.75 × 5,082.51
  4. Step 4: Simplify right side
    6,154.14x = 47,128,819.19
  5. Step 5: Solve for x
    x = 47,128,819.19/6,154.14
  6. Step 6: Final answer
    x = 7,658.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.