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Finding the Fourth Proportional to 11,777.88, 16,253.82 and 6,472.74

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Solution

The fourth proportional to 11,777.88, 16,253.82 and 6,472.74 is: 8,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.88 : 16,253.82 = 6,472.74 : x
  2. Step 2: Convert to fraction form
    11,777.88/16,253.82 = 6,472.74/x
  3. Step 3: Cross multiply
    11,777.88x = 16,253.82 × 6,472.74
  4. Step 4: Simplify right side
    11,777.88x = 105,206,750.87
  5. Step 5: Solve for x
    x = 105,206,750.87/11,777.88
  6. Step 6: Final answer
    x = 8,932.57

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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.