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Finding the Fourth Proportional to 7,797.82, 10,760.42 and 4,260.28

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Solution

The fourth proportional to 7,797.82, 10,760.42 and 4,260.28 is: 5,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.82 : 10,760.42 = 4,260.28 : x
  2. Step 2: Convert to fraction form
    7,797.82/10,760.42 = 4,260.28/x
  3. Step 3: Cross multiply
    7,797.82x = 10,760.42 × 4,260.28
  4. Step 4: Simplify right side
    7,797.82x = 45,842,402.12
  5. Step 5: Solve for x
    x = 45,842,402.12/7,797.82
  6. Step 6: Final answer
    x = 5,878.87

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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.