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Finding the Fourth Proportional to 23,584.14, 35,381.98 and 7,790.16

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Solution

The fourth proportional to 23,584.14, 35,381.98 and 7,790.16 is: 11,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.14 : 35,381.98 = 7,790.16 : x
  2. Step 2: Convert to fraction form
    23,584.14/35,381.98 = 7,790.16/x
  3. Step 3: Cross multiply
    23,584.14x = 35,381.98 × 7,790.16
  4. Step 4: Simplify right side
    23,584.14x = 275,631,285.32
  5. Step 5: Solve for x
    x = 275,631,285.32/23,584.14
  6. Step 6: Final answer
    x = 11,687.15

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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.