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Finding the Fourth Proportional to 7,797.84, 10,761.21 and 4,261.20

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Solution

The fourth proportional to 7,797.84, 10,761.21 and 4,261.20 is: 5,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.84 : 10,761.21 = 4,261.20 : x
  2. Step 2: Convert to fraction form
    7,797.84/10,761.21 = 4,261.20/x
  3. Step 3: Cross multiply
    7,797.84x = 10,761.21 × 4,261.20
  4. Step 4: Simplify right side
    7,797.84x = 45,855,668.05
  5. Step 5: Solve for x
    x = 45,855,668.05/7,797.84
  6. Step 6: Final answer
    x = 5,880.56

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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.