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Finding the Fourth Proportional to 6,156.14, 9,275.77 and 5,084.51

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Solution

The fourth proportional to 6,156.14, 9,275.77 and 5,084.51 is: 7,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.14 : 9,275.77 = 5,084.51 : x
  2. Step 2: Convert to fraction form
    6,156.14/9,275.77 = 5,084.51/x
  3. Step 3: Cross multiply
    6,156.14x = 9,275.77 × 5,084.51
  4. Step 4: Simplify right side
    6,156.14x = 47,162,719.90
  5. Step 5: Solve for x
    x = 47,162,719.90/6,156.14
  6. Step 6: Final answer
    x = 7,661.09

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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.