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Finding the Fourth Proportional to 23,144.75, 34,718.75 and 9,293.75

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Solution

The fourth proportional to 23,144.75, 34,718.75 and 9,293.75 is: 13,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.75 : 34,718.75 = 9,293.75 : x
  2. Step 2: Convert to fraction form
    23,144.75/34,718.75 = 9,293.75/x
  3. Step 3: Cross multiply
    23,144.75x = 34,718.75 × 9,293.75
  4. Step 4: Simplify right side
    23,144.75x = 322,667,382.81
  5. Step 5: Solve for x
    x = 322,667,382.81/23,144.75
  6. Step 6: Final answer
    x = 13,941.28

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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.