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Finding the Fourth Proportional to 11,777.82, 16,253.28 and 6,472.53

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Solution

The fourth proportional to 11,777.82, 16,253.28 and 6,472.53 is: 8,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.82 : 16,253.28 = 6,472.53 : x
  2. Step 2: Convert to fraction form
    11,777.82/16,253.28 = 6,472.53/x
  3. Step 3: Cross multiply
    11,777.82x = 16,253.28 × 6,472.53
  4. Step 4: Simplify right side
    11,777.82x = 105,199,842.40
  5. Step 5: Solve for x
    x = 105,199,842.40/11,777.82
  6. Step 6: Final answer
    x = 8,932.03

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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.