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Finding the Fourth Proportional to 7,963.59, 11,943.79 and 7,568.42

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Solution

The fourth proportional to 7,963.59, 11,943.79 and 7,568.42 is: 11,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.59 : 11,943.79 = 7,568.42 : x
  2. Step 2: Convert to fraction form
    7,963.59/11,943.79 = 7,568.42/x
  3. Step 3: Cross multiply
    7,963.59x = 11,943.79 × 7,568.42
  4. Step 4: Simplify right side
    7,963.59x = 90,395,619.11
  5. Step 5: Solve for x
    x = 90,395,619.11/7,963.59
  6. Step 6: Final answer
    x = 11,351.11

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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.