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Finding the Fourth Proportional to 6,862.04, 10,297 and 2,913

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Solution

The fourth proportional to 6,862.04, 10,297 and 2,913 is: 4,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.04 : 10,297 = 2,913 : x
  2. Step 2: Convert to fraction form
    6,862.04/10,297 = 2,913/x
  3. Step 3: Cross multiply
    6,862.04x = 10,297 × 2,913
  4. Step 4: Simplify right side
    6,862.04x = 29,995,161
  5. Step 5: Solve for x
    x = 29,995,161/6,862.04
  6. Step 6: Final answer
    x = 4,371.17

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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.