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Finding the Fourth Proportional to 10,805.80, 16,211.30 and 4,230.24

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Solution

The fourth proportional to 10,805.80, 16,211.30 and 4,230.24 is: 6,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.80 : 16,211.30 = 4,230.24 : x
  2. Step 2: Convert to fraction form
    10,805.80/16,211.30 = 4,230.24/x
  3. Step 3: Cross multiply
    10,805.80x = 16,211.30 × 4,230.24
  4. Step 4: Simplify right side
    10,805.80x = 68,577,689.71
  5. Step 5: Solve for x
    x = 68,577,689.71/10,805.80
  6. Step 6: Final answer
    x = 6,346.38

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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.