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Finding the Fourth Proportional to 8,523.11, 11,765.10 and 4,987.46

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Solution

The fourth proportional to 8,523.11, 11,765.10 and 4,987.46 is: 6,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.11 : 11,765.10 = 4,987.46 : x
  2. Step 2: Convert to fraction form
    8,523.11/11,765.10 = 4,987.46/x
  3. Step 3: Cross multiply
    8,523.11x = 11,765.10 × 4,987.46
  4. Step 4: Simplify right side
    8,523.11x = 58,677,906.82
  5. Step 5: Solve for x
    x = 58,677,906.82/8,523.11
  6. Step 6: Final answer
    x = 6,884.57

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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.