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Finding the Fourth Proportional to 23,637.66, 35,460.71 and 7,843.64

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Solution

The fourth proportional to 23,637.66, 35,460.71 and 7,843.64 is: 11,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.66 : 35,460.71 = 7,843.64 : x
  2. Step 2: Convert to fraction form
    23,637.66/35,460.71 = 7,843.64/x
  3. Step 3: Cross multiply
    23,637.66x = 35,460.71 × 7,843.64
  4. Step 4: Simplify right side
    23,637.66x = 278,141,099.86
  5. Step 5: Solve for x
    x = 278,141,099.86/23,637.66
  6. Step 6: Final answer
    x = 11,766.86

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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.