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Finding the Fourth Proportional to 27,602.78, 41,404.84 and 10,072.60

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Solution

The fourth proportional to 27,602.78, 41,404.84 and 10,072.60 is: 15,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.78 : 41,404.84 = 10,072.60 : x
  2. Step 2: Convert to fraction form
    27,602.78/41,404.84 = 10,072.60/x
  3. Step 3: Cross multiply
    27,602.78x = 41,404.84 × 10,072.60
  4. Step 4: Simplify right side
    27,602.78x = 417,054,262.69
  5. Step 5: Solve for x
    x = 417,054,262.69/27,602.78
  6. Step 6: Final answer
    x = 15,109.14

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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.