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Finding the Fourth Proportional to 7,077.82, 10,616.69 and 1,812.82

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Solution

The fourth proportional to 7,077.82, 10,616.69 and 1,812.82 is: 2,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.82 : 10,616.69 = 1,812.82 : x
  2. Step 2: Convert to fraction form
    7,077.82/10,616.69 = 1,812.82/x
  3. Step 3: Cross multiply
    7,077.82x = 10,616.69 × 1,812.82
  4. Step 4: Simplify right side
    7,077.82x = 19,246,147.97
  5. Step 5: Solve for x
    x = 19,246,147.97/7,077.82
  6. Step 6: Final answer
    x = 2,719.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.