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Finding the Fourth Proportional to 8,097.95, 11,175.20 and 4,561.22

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Solution

The fourth proportional to 8,097.95, 11,175.20 and 4,561.22 is: 6,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.95 : 11,175.20 = 4,561.22 : x
  2. Step 2: Convert to fraction form
    8,097.95/11,175.20 = 4,561.22/x
  3. Step 3: Cross multiply
    8,097.95x = 11,175.20 × 4,561.22
  4. Step 4: Simplify right side
    8,097.95x = 50,972,467.06
  5. Step 5: Solve for x
    x = 50,972,467.06/8,097.95
  6. Step 6: Final answer
    x = 6,294.49

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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.