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Finding the Fourth Proportional to 22,574, 33,861.24 and 6,158

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Solution

The fourth proportional to 22,574, 33,861.24 and 6,158 is: 9,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574 : 33,861.24 = 6,158 : x
  2. Step 2: Convert to fraction form
    22,574/33,861.24 = 6,158/x
  3. Step 3: Cross multiply
    22,574x = 33,861.24 × 6,158
  4. Step 4: Simplify right side
    22,574x = 208,517,515.92
  5. Step 5: Solve for x
    x = 208,517,515.92/22,574
  6. Step 6: Final answer
    x = 9,237.07

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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.