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Finding the Fourth Proportional to 23,954.96, 35,931.22 and 9,162.74

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Solution

The fourth proportional to 23,954.96, 35,931.22 and 9,162.74 is: 13,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,954.96 : 35,931.22 = 9,162.74 : x
  2. Step 2: Convert to fraction form
    23,954.96/35,931.22 = 9,162.74/x
  3. Step 3: Cross multiply
    23,954.96x = 35,931.22 × 9,162.74
  4. Step 4: Simplify right side
    23,954.96x = 329,228,493.66
  5. Step 5: Solve for x
    x = 329,228,493.66/23,954.96
  6. Step 6: Final answer
    x = 13,743.64

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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.