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Finding the Fourth Proportional to 11,773.58, 16,247.73 and 6,737.78

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Solution

The fourth proportional to 11,773.58, 16,247.73 and 6,737.78 is: 9,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.58 : 16,247.73 = 6,737.78 : x
  2. Step 2: Convert to fraction form
    11,773.58/16,247.73 = 6,737.78/x
  3. Step 3: Cross multiply
    11,773.58x = 16,247.73 × 6,737.78
  4. Step 4: Simplify right side
    11,773.58x = 109,473,630.24
  5. Step 5: Solve for x
    x = 109,473,630.24/11,773.58
  6. Step 6: Final answer
    x = 9,298.24

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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.