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Finding the Fourth Proportional to 22,463.64, 33,695.31 and 5,823.63

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Solution

The fourth proportional to 22,463.64, 33,695.31 and 5,823.63 is: 8,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.64 : 33,695.31 = 5,823.63 : x
  2. Step 2: Convert to fraction form
    22,463.64/33,695.31 = 5,823.63/x
  3. Step 3: Cross multiply
    22,463.64x = 33,695.31 × 5,823.63
  4. Step 4: Simplify right side
    22,463.64x = 196,229,018.18
  5. Step 5: Solve for x
    x = 196,229,018.18/22,463.64
  6. Step 6: Final answer
    x = 8,735.41

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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.