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Finding the Fourth Proportional to 6,098.71, 8,416.11 and 3,446.06

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Solution

The fourth proportional to 6,098.71, 8,416.11 and 3,446.06 is: 4,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.71 : 8,416.11 = 3,446.06 : x
  2. Step 2: Convert to fraction form
    6,098.71/8,416.11 = 3,446.06/x
  3. Step 3: Cross multiply
    6,098.71x = 8,416.11 × 3,446.06
  4. Step 4: Simplify right side
    6,098.71x = 29,002,411.41
  5. Step 5: Solve for x
    x = 29,002,411.41/6,098.71
  6. Step 6: Final answer
    x = 4,755.50

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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.