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Finding the Fourth Proportional to 6,757.77, 10,127.75 and 4,117.17

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Solution

The fourth proportional to 6,757.77, 10,127.75 and 4,117.17 is: 6,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.77 : 10,127.75 = 4,117.17 : x
  2. Step 2: Convert to fraction form
    6,757.77/10,127.75 = 4,117.17/x
  3. Step 3: Cross multiply
    6,757.77x = 10,127.75 × 4,117.17
  4. Step 4: Simplify right side
    6,757.77x = 41,697,647.88
  5. Step 5: Solve for x
    x = 41,697,647.88/6,757.77
  6. Step 6: Final answer
    x = 6,170.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.