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Finding the Fourth Proportional to 11,230.80, 16,854.30 and 6,295.20

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Solution

The fourth proportional to 11,230.80, 16,854.30 and 6,295.20 is: 9,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.80 : 16,854.30 = 6,295.20 : x
  2. Step 2: Convert to fraction form
    11,230.80/16,854.30 = 6,295.20/x
  3. Step 3: Cross multiply
    11,230.80x = 16,854.30 × 6,295.20
  4. Step 4: Simplify right side
    11,230.80x = 106,101,189.36
  5. Step 5: Solve for x
    x = 106,101,189.36/11,230.80
  6. Step 6: Final answer
    x = 9,447.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.