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Finding the Fourth Proportional to 8,971.12, 12,380.14 and 4,992.49

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Solution

The fourth proportional to 8,971.12, 12,380.14 and 4,992.49 is: 6,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.12 : 12,380.14 = 4,992.49 : x
  2. Step 2: Convert to fraction form
    8,971.12/12,380.14 = 4,992.49/x
  3. Step 3: Cross multiply
    8,971.12x = 12,380.14 × 4,992.49
  4. Step 4: Simplify right side
    8,971.12x = 61,807,725.15
  5. Step 5: Solve for x
    x = 61,807,725.15/8,971.12
  6. Step 6: Final answer
    x = 6,889.63

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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.