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Finding the Fourth Proportional to 6,899.72, 10,348.56 and 2,219.10

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Solution

The fourth proportional to 6,899.72, 10,348.56 and 2,219.10 is: 3,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.72 : 10,348.56 = 2,219.10 : x
  2. Step 2: Convert to fraction form
    6,899.72/10,348.56 = 2,219.10/x
  3. Step 3: Cross multiply
    6,899.72x = 10,348.56 × 2,219.10
  4. Step 4: Simplify right side
    6,899.72x = 22,964,489.50
  5. Step 5: Solve for x
    x = 22,964,489.50/6,899.72
  6. Step 6: Final answer
    x = 3,328.32

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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.