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Finding the Fourth Proportional to 22,313.75, 33,470.74 and 7,522.80

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Solution

The fourth proportional to 22,313.75, 33,470.74 and 7,522.80 is: 11,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.75 : 33,470.74 = 7,522.80 : x
  2. Step 2: Convert to fraction form
    22,313.75/33,470.74 = 7,522.80/x
  3. Step 3: Cross multiply
    22,313.75x = 33,470.74 × 7,522.80
  4. Step 4: Simplify right side
    22,313.75x = 251,793,682.87
  5. Step 5: Solve for x
    x = 251,793,682.87/22,313.75
  6. Step 6: Final answer
    x = 11,284.24

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Double scale
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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.