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Finding the Fourth Proportional to 18,097.78, 27,137.41 and 7,564.93

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Solution

The fourth proportional to 18,097.78, 27,137.41 and 7,564.93 is: 11,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.78 : 27,137.41 = 7,564.93 : x
  2. Step 2: Convert to fraction form
    18,097.78/27,137.41 = 7,564.93/x
  3. Step 3: Cross multiply
    18,097.78x = 27,137.41 × 7,564.93
  4. Step 4: Simplify right side
    18,097.78x = 205,292,607.03
  5. Step 5: Solve for x
    x = 205,292,607.03/18,097.78
  6. Step 6: Final answer
    x = 11,343.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.