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Finding the Fourth Proportional to 12,403, 17,116.41 and 6,814

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Solution

The fourth proportional to 12,403, 17,116.41 and 6,814 is: 9,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403 : 17,116.41 = 6,814 : x
  2. Step 2: Convert to fraction form
    12,403/17,116.41 = 6,814/x
  3. Step 3: Cross multiply
    12,403x = 17,116.41 × 6,814
  4. Step 4: Simplify right side
    12,403x = 116,631,217.74
  5. Step 5: Solve for x
    x = 116,631,217.74/12,403
  6. Step 6: Final answer
    x = 9,403.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.