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Finding the Fourth Proportional to 5,266.62, 7,227.81 and 4,768.16

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Solution

The fourth proportional to 5,266.62, 7,227.81 and 4,768.16 is: 6,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.62 : 7,227.81 = 4,768.16 : x
  2. Step 2: Convert to fraction form
    5,266.62/7,227.81 = 4,768.16/x
  3. Step 3: Cross multiply
    5,266.62x = 7,227.81 × 4,768.16
  4. Step 4: Simplify right side
    5,266.62x = 34,463,354.53
  5. Step 5: Solve for x
    x = 34,463,354.53/5,266.62
  6. Step 6: Final answer
    x = 6,543.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.