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Finding the Fourth Proportional to 11,778.98, 16,257.80 and 6,746.11

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Solution

The fourth proportional to 11,778.98, 16,257.80 and 6,746.11 is: 9,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.98 : 16,257.80 = 6,746.11 : x
  2. Step 2: Convert to fraction form
    11,778.98/16,257.80 = 6,746.11/x
  3. Step 3: Cross multiply
    11,778.98x = 16,257.80 × 6,746.11
  4. Step 4: Simplify right side
    11,778.98x = 109,676,883.38
  5. Step 5: Solve for x
    x = 109,676,883.38/11,778.98
  6. Step 6: Final answer
    x = 9,311.24

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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.