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Finding the Fourth Proportional to 7,084, 10,628.16 and 2,467

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Solution

The fourth proportional to 7,084, 10,628.16 and 2,467 is: 3,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084 : 10,628.16 = 2,467 : x
  2. Step 2: Convert to fraction form
    7,084/10,628.16 = 2,467/x
  3. Step 3: Cross multiply
    7,084x = 10,628.16 × 2,467
  4. Step 4: Simplify right side
    7,084x = 26,219,670.72
  5. Step 5: Solve for x
    x = 26,219,670.72/7,084
  6. Step 6: Final answer
    x = 3,701.25

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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.