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Finding the Fourth Proportional to 10,805.44, 16,201.68 and 4,230.40

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Solution

The fourth proportional to 10,805.44, 16,201.68 and 4,230.40 is: 6,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.44 : 16,201.68 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    10,805.44/16,201.68 = 4,230.40/x
  3. Step 3: Cross multiply
    10,805.44x = 16,201.68 × 4,230.40
  4. Step 4: Simplify right side
    10,805.44x = 68,539,587.07
  5. Step 5: Solve for x
    x = 68,539,587.07/10,805.44
  6. Step 6: Final answer
    x = 6,343.06

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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.