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Finding the Fourth Proportional to 6,600.49, 9,107.81 and 3,946.93

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Solution

The fourth proportional to 6,600.49, 9,107.81 and 3,946.93 is: 5,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.49 : 9,107.81 = 3,946.93 : x
  2. Step 2: Convert to fraction form
    6,600.49/9,107.81 = 3,946.93/x
  3. Step 3: Cross multiply
    6,600.49x = 9,107.81 × 3,946.93
  4. Step 4: Simplify right side
    6,600.49x = 35,947,860.82
  5. Step 5: Solve for x
    x = 35,947,860.82/6,600.49
  6. Step 6: Final answer
    x = 5,446.24

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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.