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Finding the Fourth Proportional to 10,206, 15,311.16 and 3,281.04

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Solution

The fourth proportional to 10,206, 15,311.16 and 3,281.04 is: 4,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,311.16 = 3,281.04 : x
  2. Step 2: Convert to fraction form
    10,206/15,311.16 = 3,281.04/x
  3. Step 3: Cross multiply
    10,206x = 15,311.16 × 3,281.04
  4. Step 4: Simplify right side
    10,206x = 50,236,528.41
  5. Step 5: Solve for x
    x = 50,236,528.41/10,206
  6. Step 6: Final answer
    x = 4,922.25

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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.