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Finding the Fourth Proportional to 6,097.77, 8,415.81 and 3,446.28

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Solution

The fourth proportional to 6,097.77, 8,415.81 and 3,446.28 is: 4,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.77 : 8,415.81 = 3,446.28 : x
  2. Step 2: Convert to fraction form
    6,097.77/8,415.81 = 3,446.28/x
  3. Step 3: Cross multiply
    6,097.77x = 8,415.81 × 3,446.28
  4. Step 4: Simplify right side
    6,097.77x = 29,003,237.69
  5. Step 5: Solve for x
    x = 29,003,237.69/6,097.77
  6. Step 6: Final answer
    x = 4,756.37

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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.