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Finding the Fourth Proportional to 22,509.43, 33,760.68 and 7,714.96

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Solution

The fourth proportional to 22,509.43, 33,760.68 and 7,714.96 is: 11,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.43 : 33,760.68 = 7,714.96 : x
  2. Step 2: Convert to fraction form
    22,509.43/33,760.68 = 7,714.96/x
  3. Step 3: Cross multiply
    22,509.43x = 33,760.68 × 7,714.96
  4. Step 4: Simplify right side
    22,509.43x = 260,462,295.77
  5. Step 5: Solve for x
    x = 260,462,295.77/22,509.43
  6. Step 6: Final answer
    x = 11,571.25

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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.