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Finding the Fourth Proportional to 5,165.56, 7,767.02 and 4,759.60

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Solution

The fourth proportional to 5,165.56, 7,767.02 and 4,759.60 is: 7,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.56 : 7,767.02 = 4,759.60 : x
  2. Step 2: Convert to fraction form
    5,165.56/7,767.02 = 4,759.60/x
  3. Step 3: Cross multiply
    5,165.56x = 7,767.02 × 4,759.60
  4. Step 4: Simplify right side
    5,165.56x = 36,967,908.39
  5. Step 5: Solve for x
    x = 36,967,908.39/5,165.56
  6. Step 6: Final answer
    x = 7,156.61

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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.