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Finding the Fourth Proportional to 23,759.77, 35,647.56 and 7,966.36

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Solution

The fourth proportional to 23,759.77, 35,647.56 and 7,966.36 is: 11,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,759.77 : 35,647.56 = 7,966.36 : x
  2. Step 2: Convert to fraction form
    23,759.77/35,647.56 = 7,966.36/x
  3. Step 3: Cross multiply
    23,759.77x = 35,647.56 × 7,966.36
  4. Step 4: Simplify right side
    23,759.77x = 283,981,117.84
  5. Step 5: Solve for x
    x = 283,981,117.84/23,759.77
  6. Step 6: Final answer
    x = 11,952.19

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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.