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Finding the Fourth Proportional to 12,902.88, 17,806.14 and 7,237.56

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Solution

The fourth proportional to 12,902.88, 17,806.14 and 7,237.56 is: 9,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.88 : 17,806.14 = 7,237.56 : x
  2. Step 2: Convert to fraction form
    12,902.88/17,806.14 = 7,237.56/x
  3. Step 3: Cross multiply
    12,902.88x = 17,806.14 × 7,237.56
  4. Step 4: Simplify right side
    12,902.88x = 128,873,006.62
  5. Step 5: Solve for x
    x = 128,873,006.62/12,902.88
  6. Step 6: Final answer
    x = 9,987.93

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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.