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Finding the Fourth Proportional to 6,784.92, 10,170.36 and 3,490.68

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Solution

The fourth proportional to 6,784.92, 10,170.36 and 3,490.68 is: 5,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.92 : 10,170.36 = 3,490.68 : x
  2. Step 2: Convert to fraction form
    6,784.92/10,170.36 = 3,490.68/x
  3. Step 3: Cross multiply
    6,784.92x = 10,170.36 × 3,490.68
  4. Step 4: Simplify right side
    6,784.92x = 35,501,472.24
  5. Step 5: Solve for x
    x = 35,501,472.24/6,784.92
  6. Step 6: Final answer
    x = 5,232.41

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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.