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Finding the Fourth Proportional to 23,774.87, 35,662.22 and 7,134.83

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Solution

The fourth proportional to 23,774.87, 35,662.22 and 7,134.83 is: 10,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.87 : 35,662.22 = 7,134.83 : x
  2. Step 2: Convert to fraction form
    23,774.87/35,662.22 = 7,134.83/x
  3. Step 3: Cross multiply
    23,774.87x = 35,662.22 × 7,134.83
  4. Step 4: Simplify right side
    23,774.87x = 254,444,064.36
  5. Step 5: Solve for x
    x = 254,444,064.36/23,774.87
  6. Step 6: Final answer
    x = 10,702.23

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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.