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Finding the Fourth Proportional to 7,773.57, 10,727.53 and 4,236.78

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Solution

The fourth proportional to 7,773.57, 10,727.53 and 4,236.78 is: 5,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.57 : 10,727.53 = 4,236.78 : x
  2. Step 2: Convert to fraction form
    7,773.57/10,727.53 = 4,236.78/x
  3. Step 3: Cross multiply
    7,773.57x = 10,727.53 × 4,236.78
  4. Step 4: Simplify right side
    7,773.57x = 45,450,184.55
  5. Step 5: Solve for x
    x = 45,450,184.55/7,773.57
  6. Step 6: Final answer
    x = 5,846.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.