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Finding the Fourth Proportional to 8,351.04, 11,524.50 and 5,207.25

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Solution

The fourth proportional to 8,351.04, 11,524.50 and 5,207.25 is: 7,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.04 : 11,524.50 = 5,207.25 : x
  2. Step 2: Convert to fraction form
    8,351.04/11,524.50 = 5,207.25/x
  3. Step 3: Cross multiply
    8,351.04x = 11,524.50 × 5,207.25
  4. Step 4: Simplify right side
    8,351.04x = 60,010,952.63
  5. Step 5: Solve for x
    x = 60,010,952.63/8,351.04
  6. Step 6: Final answer
    x = 7,186.05

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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.