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Finding the Fourth Proportional to 11,377.64, 15,701.22 and 6,662

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Solution

The fourth proportional to 11,377.64, 15,701.22 and 6,662 is: 9,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.64 : 15,701.22 = 6,662 : x
  2. Step 2: Convert to fraction form
    11,377.64/15,701.22 = 6,662/x
  3. Step 3: Cross multiply
    11,377.64x = 15,701.22 × 6,662
  4. Step 4: Simplify right side
    11,377.64x = 104,601,527.64
  5. Step 5: Solve for x
    x = 104,601,527.64/11,377.64
  6. Step 6: Final answer
    x = 9,193.60

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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.