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Finding the Fourth Proportional to 7,079, 10,618.50 and 2,462

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Solution

The fourth proportional to 7,079, 10,618.50 and 2,462 is: 3,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079 : 10,618.50 = 2,462 : x
  2. Step 2: Convert to fraction form
    7,079/10,618.50 = 2,462/x
  3. Step 3: Cross multiply
    7,079x = 10,618.50 × 2,462
  4. Step 4: Simplify right side
    7,079x = 26,142,747
  5. Step 5: Solve for x
    x = 26,142,747/7,079
  6. Step 6: Final answer
    x = 3,693

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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.