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Finding the Fourth Proportional to 11,777.65, 16,253.50 and 6,472.81

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Solution

The fourth proportional to 11,777.65, 16,253.50 and 6,472.81 is: 8,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.65 : 16,253.50 = 6,472.81 : x
  2. Step 2: Convert to fraction form
    11,777.65/16,253.50 = 6,472.81/x
  3. Step 3: Cross multiply
    11,777.65x = 16,253.50 × 6,472.81
  4. Step 4: Simplify right side
    11,777.65x = 105,205,760.52
  5. Step 5: Solve for x
    x = 105,205,760.52/11,777.65
  6. Step 6: Final answer
    x = 8,932.66

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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.