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Finding the Fourth Proportional to 9,843.44, 13,585.92 and 5,866.88

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Solution

The fourth proportional to 9,843.44, 13,585.92 and 5,866.88 is: 8,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.44 : 13,585.92 = 5,866.88 : x
  2. Step 2: Convert to fraction form
    9,843.44/13,585.92 = 5,866.88/x
  3. Step 3: Cross multiply
    9,843.44x = 13,585.92 × 5,866.88
  4. Step 4: Simplify right side
    9,843.44x = 79,706,962.33
  5. Step 5: Solve for x
    x = 79,706,962.33/9,843.44
  6. Step 6: Final answer
    x = 8,097.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.