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Finding the Fourth Proportional to 6,993, 10,491.12 and 2,376

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Solution

The fourth proportional to 6,993, 10,491.12 and 2,376 is: 3,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 10,491.12 = 2,376 : x
  2. Step 2: Convert to fraction form
    6,993/10,491.12 = 2,376/x
  3. Step 3: Cross multiply
    6,993x = 10,491.12 × 2,376
  4. Step 4: Simplify right side
    6,993x = 24,926,901.12
  5. Step 5: Solve for x
    x = 24,926,901.12/6,993
  6. Step 6: Final answer
    x = 3,564.55

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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.