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Finding the Fourth Proportional to 23,568.75, 35,353.13 and 7,152.75

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Solution

The fourth proportional to 23,568.75, 35,353.13 and 7,152.75 is: 10,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.75 : 35,353.13 = 7,152.75 : x
  2. Step 2: Convert to fraction form
    23,568.75/35,353.13 = 7,152.75/x
  3. Step 3: Cross multiply
    23,568.75x = 35,353.13 × 7,152.75
  4. Step 4: Simplify right side
    23,568.75x = 252,872,064.84
  5. Step 5: Solve for x
    x = 252,872,064.84/23,568.75
  6. Step 6: Final answer
    x = 10,729.13

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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.