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Finding the Fourth Proportional to 22,400.64, 33,610.56 and 9,262.56

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Solution

The fourth proportional to 22,400.64, 33,610.56 and 9,262.56 is: 13,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.64 : 33,610.56 = 9,262.56 : x
  2. Step 2: Convert to fraction form
    22,400.64/33,610.56 = 9,262.56/x
  3. Step 3: Cross multiply
    22,400.64x = 33,610.56 × 9,262.56
  4. Step 4: Simplify right side
    22,400.64x = 311,319,828.63
  5. Step 5: Solve for x
    x = 311,319,828.63/22,400.64
  6. Step 6: Final answer
    x = 13,897.81

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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.