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Finding the Fourth Proportional to 6,057.70, 9,127.78 and 4,986.10

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Solution

The fourth proportional to 6,057.70, 9,127.78 and 4,986.10 is: 7,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.70 : 9,127.78 = 4,986.10 : x
  2. Step 2: Convert to fraction form
    6,057.70/9,127.78 = 4,986.10/x
  3. Step 3: Cross multiply
    6,057.70x = 9,127.78 × 4,986.10
  4. Step 4: Simplify right side
    6,057.70x = 45,512,023.86
  5. Step 5: Solve for x
    x = 45,512,023.86/6,057.70
  6. Step 6: Final answer
    x = 7,513.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.