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Finding the Fourth Proportional to 12,656.11, 17,466.48 and 6,991.39

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Solution

The fourth proportional to 12,656.11, 17,466.48 and 6,991.39 is: 9,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.11 : 17,466.48 = 6,991.39 : x
  2. Step 2: Convert to fraction form
    12,656.11/17,466.48 = 6,991.39/x
  3. Step 3: Cross multiply
    12,656.11x = 17,466.48 × 6,991.39
  4. Step 4: Simplify right side
    12,656.11x = 122,114,973.61
  5. Step 5: Solve for x
    x = 122,114,973.61/12,656.11
  6. Step 6: Final answer
    x = 9,648.70

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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.