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Finding the Fourth Proportional to 23,502.36, 35,249.94 and 7,709.07

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Solution

The fourth proportional to 23,502.36, 35,249.94 and 7,709.07 is: 11,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.36 : 35,249.94 = 7,709.07 : x
  2. Step 2: Convert to fraction form
    23,502.36/35,249.94 = 7,709.07/x
  3. Step 3: Cross multiply
    23,502.36x = 35,249.94 × 7,709.07
  4. Step 4: Simplify right side
    23,502.36x = 271,744,254.96
  5. Step 5: Solve for x
    x = 271,744,254.96/23,502.36
  6. Step 6: Final answer
    x = 11,562.42

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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.