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Finding the Fourth Proportional to 8,091, 11,170.44 and 5,301.36

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Solution

The fourth proportional to 8,091, 11,170.44 and 5,301.36 is: 7,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 11,170.44 = 5,301.36 : x
  2. Step 2: Convert to fraction form
    8,091/11,170.44 = 5,301.36/x
  3. Step 3: Cross multiply
    8,091x = 11,170.44 × 5,301.36
  4. Step 4: Simplify right side
    8,091x = 59,218,523.80
  5. Step 5: Solve for x
    x = 59,218,523.80/8,091
  6. Step 6: Final answer
    x = 7,319.06

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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.