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Finding the Fourth Proportional to 9,843.54, 14,767.48 and 2,918.58

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Solution

The fourth proportional to 9,843.54, 14,767.48 and 2,918.58 is: 4,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.54 : 14,767.48 = 2,918.58 : x
  2. Step 2: Convert to fraction form
    9,843.54/14,767.48 = 2,918.58/x
  3. Step 3: Cross multiply
    9,843.54x = 14,767.48 × 2,918.58
  4. Step 4: Simplify right side
    9,843.54x = 43,100,071.78
  5. Step 5: Solve for x
    x = 43,100,071.78/9,843.54
  6. Step 6: Final answer
    x = 4,378.51

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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.