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Finding the Fourth Proportional to 6,098.78, 8,417.43 and 3,446.97

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Solution

The fourth proportional to 6,098.78, 8,417.43 and 3,446.97 is: 4,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.78 : 8,417.43 = 3,446.97 : x
  2. Step 2: Convert to fraction form
    6,098.78/8,417.43 = 3,446.97/x
  3. Step 3: Cross multiply
    6,098.78x = 8,417.43 × 3,446.97
  4. Step 4: Simplify right side
    6,098.78x = 29,014,628.69
  5. Step 5: Solve for x
    x = 29,014,628.69/6,098.78
  6. Step 6: Final answer
    x = 4,757.45

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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.