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Finding the Fourth Proportional to 10,805.91, 16,202.63 and 4,228.50

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Solution

The fourth proportional to 10,805.91, 16,202.63 and 4,228.50 is: 6,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.91 : 16,202.63 = 4,228.50 : x
  2. Step 2: Convert to fraction form
    10,805.91/16,202.63 = 4,228.50/x
  3. Step 3: Cross multiply
    10,805.91x = 16,202.63 × 4,228.50
  4. Step 4: Simplify right side
    10,805.91x = 68,512,892.29
  5. Step 5: Solve for x
    x = 68,512,892.29/10,805.91
  6. Step 6: Final answer
    x = 6,340.32

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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.