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Finding the Fourth Proportional to 7,971.31, 11,000.41 and 4,434.44

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Solution

The fourth proportional to 7,971.31, 11,000.41 and 4,434.44 is: 6,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.31 : 11,000.41 = 4,434.44 : x
  2. Step 2: Convert to fraction form
    7,971.31/11,000.41 = 4,434.44/x
  3. Step 3: Cross multiply
    7,971.31x = 11,000.41 × 4,434.44
  4. Step 4: Simplify right side
    7,971.31x = 48,780,635.95
  5. Step 5: Solve for x
    x = 48,780,635.95/7,971.31
  6. Step 6: Final answer
    x = 6,119.53

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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.