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Finding the Fourth Proportional to 9,843.51, 14,763.88 and 2,824.12

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Solution

The fourth proportional to 9,843.51, 14,763.88 and 2,824.12 is: 4,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.51 : 14,763.88 = 2,824.12 : x
  2. Step 2: Convert to fraction form
    9,843.51/14,763.88 = 2,824.12/x
  3. Step 3: Cross multiply
    9,843.51x = 14,763.88 × 2,824.12
  4. Step 4: Simplify right side
    9,843.51x = 41,694,968.79
  5. Step 5: Solve for x
    x = 41,694,968.79/9,843.51
  6. Step 6: Final answer
    x = 4,235.78

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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.