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Finding the Fourth Proportional to 33,214.52, 49,824.64 and 9,522.16

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Solution

The fourth proportional to 33,214.52, 49,824.64 and 9,522.16 is: 14,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.52 : 49,824.64 = 9,522.16 : x
  2. Step 2: Convert to fraction form
    33,214.52/49,824.64 = 9,522.16/x
  3. Step 3: Cross multiply
    33,214.52x = 49,824.64 × 9,522.16
  4. Step 4: Simplify right side
    33,214.52x = 474,438,194.02
  5. Step 5: Solve for x
    x = 474,438,194.02/33,214.52
  6. Step 6: Final answer
    x = 14,284.06

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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.