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Finding the Fourth Proportional to 11,773.82, 16,247.88 and 6,468.98

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Solution

The fourth proportional to 11,773.82, 16,247.88 and 6,468.98 is: 8,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.82 : 16,247.88 = 6,468.98 : x
  2. Step 2: Convert to fraction form
    11,773.82/16,247.88 = 6,468.98/x
  3. Step 3: Cross multiply
    11,773.82x = 16,247.88 × 6,468.98
  4. Step 4: Simplify right side
    11,773.82x = 105,107,129.52
  5. Step 5: Solve for x
    x = 105,107,129.52/11,773.82
  6. Step 6: Final answer
    x = 8,927.19

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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.