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Finding the Fourth Proportional to 11,856.66, 16,375.39 and 9,200.00

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Solution

The fourth proportional to 11,856.66, 16,375.39 and 9,200.00 is: 12,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.66 : 16,375.39 = 9,200.00 : x
  2. Step 2: Convert to fraction form
    11,856.66/16,375.39 = 9,200.00/x
  3. Step 3: Cross multiply
    11,856.66x = 16,375.39 × 9,200.00
  4. Step 4: Simplify right side
    11,856.66x = 150,653,506.12
  5. Step 5: Solve for x
    x = 150,653,506.12/11,856.66
  6. Step 6: Final answer
    x = 12,706.24

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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.