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Finding the Fourth Proportional to 5,966.17, 8,949.34 and 1,806.22

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Solution

The fourth proportional to 5,966.17, 8,949.34 and 1,806.22 is: 2,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.17 : 8,949.34 = 1,806.22 : x
  2. Step 2: Convert to fraction form
    5,966.17/8,949.34 = 1,806.22/x
  3. Step 3: Cross multiply
    5,966.17x = 8,949.34 × 1,806.22
  4. Step 4: Simplify right side
    5,966.17x = 16,164,476.89
  5. Step 5: Solve for x
    x = 16,164,476.89/5,966.17
  6. Step 6: Final answer
    x = 2,709.36

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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.