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Finding the Fourth Proportional to 23,954.72, 35,930.86 and 9,162.50

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Solution

The fourth proportional to 23,954.72, 35,930.86 and 9,162.50 is: 13,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,954.72 : 35,930.86 = 9,162.50 : x
  2. Step 2: Convert to fraction form
    23,954.72/35,930.86 = 9,162.50/x
  3. Step 3: Cross multiply
    23,954.72x = 35,930.86 × 9,162.50
  4. Step 4: Simplify right side
    23,954.72x = 329,216,504.75
  5. Step 5: Solve for x
    x = 329,216,504.75/23,954.72
  6. Step 6: Final answer
    x = 13,743.28

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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.