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Finding the Fourth Proportional to 33,196.16, 49,794.24 and 9,824.64

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Solution

The fourth proportional to 33,196.16, 49,794.24 and 9,824.64 is: 14,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.16 : 49,794.24 = 9,824.64 : x
  2. Step 2: Convert to fraction form
    33,196.16/49,794.24 = 9,824.64/x
  3. Step 3: Cross multiply
    33,196.16x = 49,794.24 × 9,824.64
  4. Step 4: Simplify right side
    33,196.16x = 489,210,482.07
  5. Step 5: Solve for x
    x = 489,210,482.07/33,196.16
  6. Step 6: Final answer
    x = 14,736.96

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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.