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Finding the Fourth Proportional to 7,194.06, 9,899.01 and 5,514.84

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Solution

The fourth proportional to 7,194.06, 9,899.01 and 5,514.84 is: 7,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.06 : 9,899.01 = 5,514.84 : x
  2. Step 2: Convert to fraction form
    7,194.06/9,899.01 = 5,514.84/x
  3. Step 3: Cross multiply
    7,194.06x = 9,899.01 × 5,514.84
  4. Step 4: Simplify right side
    7,194.06x = 54,591,456.31
  5. Step 5: Solve for x
    x = 54,591,456.31/7,194.06
  6. Step 6: Final answer
    x = 7,588.41

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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.