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Finding the Fourth Proportional to 7,096, 10,644.18 and 2,479

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Solution

The fourth proportional to 7,096, 10,644.18 and 2,479 is: 3,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 10,644.18 = 2,479 : x
  2. Step 2: Convert to fraction form
    7,096/10,644.18 = 2,479/x
  3. Step 3: Cross multiply
    7,096x = 10,644.18 × 2,479
  4. Step 4: Simplify right side
    7,096x = 26,386,922.22
  5. Step 5: Solve for x
    x = 26,386,922.22/7,096
  6. Step 6: Final answer
    x = 3,718.56

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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.