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Finding the Fourth Proportional to 6,996.95, 10,493.22 and 2,315.90

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Solution

The fourth proportional to 6,996.95, 10,493.22 and 2,315.90 is: 3,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.95 : 10,493.22 = 2,315.90 : x
  2. Step 2: Convert to fraction form
    6,996.95/10,493.22 = 2,315.90/x
  3. Step 3: Cross multiply
    6,996.95x = 10,493.22 × 2,315.90
  4. Step 4: Simplify right side
    6,996.95x = 24,301,248.20
  5. Step 5: Solve for x
    x = 24,301,248.20/6,996.95
  6. Step 6: Final answer
    x = 3,473.12

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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.