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Finding the Fourth Proportional to 4,246, 6,371.56 and 1,814

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Solution

The fourth proportional to 4,246, 6,371.56 and 1,814 is: 2,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246 : 6,371.56 = 1,814 : x
  2. Step 2: Convert to fraction form
    4,246/6,371.56 = 1,814/x
  3. Step 3: Cross multiply
    4,246x = 6,371.56 × 1,814
  4. Step 4: Simplify right side
    4,246x = 11,558,009.84
  5. Step 5: Solve for x
    x = 11,558,009.84/4,246
  6. Step 6: Final answer
    x = 2,722.09

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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.