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Finding the Fourth Proportional to 12,777.66, 17,634.02 and 7,112.34

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Solution

The fourth proportional to 12,777.66, 17,634.02 and 7,112.34 is: 9,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.66 : 17,634.02 = 7,112.34 : x
  2. Step 2: Convert to fraction form
    12,777.66/17,634.02 = 7,112.34/x
  3. Step 3: Cross multiply
    12,777.66x = 17,634.02 × 7,112.34
  4. Step 4: Simplify right side
    12,777.66x = 125,419,110.25
  5. Step 5: Solve for x
    x = 125,419,110.25/12,777.66
  6. Step 6: Final answer
    x = 9,815.50

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1.5x scale

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.