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Finding the Fourth Proportional to 12,810, 17,677.80 and 6,922

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Solution

The fourth proportional to 12,810, 17,677.80 and 6,922 is: 9,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810 : 17,677.80 = 6,922 : x
  2. Step 2: Convert to fraction form
    12,810/17,677.80 = 6,922/x
  3. Step 3: Cross multiply
    12,810x = 17,677.80 × 6,922
  4. Step 4: Simplify right side
    12,810x = 122,365,731.60
  5. Step 5: Solve for x
    x = 122,365,731.60/12,810
  6. Step 6: Final answer
    x = 9,552.36

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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.