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Finding the Fourth Proportional to 7,194.08, 9,914.36 and 5,201.22

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Solution

The fourth proportional to 7,194.08, 9,914.36 and 5,201.22 is: 7,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.08 : 9,914.36 = 5,201.22 : x
  2. Step 2: Convert to fraction form
    7,194.08/9,914.36 = 5,201.22/x
  3. Step 3: Cross multiply
    7,194.08x = 9,914.36 × 5,201.22
  4. Step 4: Simplify right side
    7,194.08x = 51,566,767.52
  5. Step 5: Solve for x
    x = 51,566,767.52/7,194.08
  6. Step 6: Final answer
    x = 7,167.94

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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.