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Finding the Fourth Proportional to 6,974.68, 10,462.02 and 2,587

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Solution

The fourth proportional to 6,974.68, 10,462.02 and 2,587 is: 3,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.68 : 10,462.02 = 2,587 : x
  2. Step 2: Convert to fraction form
    6,974.68/10,462.02 = 2,587/x
  3. Step 3: Cross multiply
    6,974.68x = 10,462.02 × 2,587
  4. Step 4: Simplify right side
    6,974.68x = 27,065,245.74
  5. Step 5: Solve for x
    x = 27,065,245.74/6,974.68
  6. Step 6: Final answer
    x = 3,880.50

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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.