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Finding the Fourth Proportional to 6,598.78, 9,107.49 and 3,946.48

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Solution

The fourth proportional to 6,598.78, 9,107.49 and 3,946.48 is: 5,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.78 : 9,107.49 = 3,946.48 : x
  2. Step 2: Convert to fraction form
    6,598.78/9,107.49 = 3,946.48/x
  3. Step 3: Cross multiply
    6,598.78x = 9,107.49 × 3,946.48
  4. Step 4: Simplify right side
    6,598.78x = 35,942,527.14
  5. Step 5: Solve for x
    x = 35,942,527.14/6,598.78
  6. Step 6: Final answer
    x = 5,446.84

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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.