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Finding the Fourth Proportional to 22,594.46, 33,896.22 and 7,803.92

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Solution

The fourth proportional to 22,594.46, 33,896.22 and 7,803.92 is: 11,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.46 : 33,896.22 = 7,803.92 : x
  2. Step 2: Convert to fraction form
    22,594.46/33,896.22 = 7,803.92/x
  3. Step 3: Cross multiply
    22,594.46x = 33,896.22 × 7,803.92
  4. Step 4: Simplify right side
    22,594.46x = 264,523,389.18
  5. Step 5: Solve for x
    x = 264,523,389.18/22,594.46
  6. Step 6: Final answer
    x = 11,707.44

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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.