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Finding the Fourth Proportional to 23,896.70, 35,845.38 and 9,106.42

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Solution

The fourth proportional to 23,896.70, 35,845.38 and 9,106.42 is: 13,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.70 : 35,845.38 = 9,106.42 : x
  2. Step 2: Convert to fraction form
    23,896.70/35,845.38 = 9,106.42/x
  3. Step 3: Cross multiply
    23,896.70x = 35,845.38 × 9,106.42
  4. Step 4: Simplify right side
    23,896.70x = 326,423,085.34
  5. Step 5: Solve for x
    x = 326,423,085.34/23,896.70
  6. Step 6: Final answer
    x = 13,659.76

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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.