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Finding the Fourth Proportional to 8,034.93, 11,086.07 and 5,203.17

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Solution

The fourth proportional to 8,034.93, 11,086.07 and 5,203.17 is: 7,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.93 : 11,086.07 = 5,203.17 : x
  2. Step 2: Convert to fraction form
    8,034.93/11,086.07 = 5,203.17/x
  3. Step 3: Cross multiply
    8,034.93x = 11,086.07 × 5,203.17
  4. Step 4: Simplify right side
    8,034.93x = 57,682,680.83
  5. Step 5: Solve for x
    x = 57,682,680.83/8,034.93
  6. Step 6: Final answer
    x = 7,178.99

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1.5x scale

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.