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Finding the Fourth Proportional to 6,784.41, 9,362.94 and 3,800.52

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Solution

The fourth proportional to 6,784.41, 9,362.94 and 3,800.52 is: 5,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.41 : 9,362.94 = 3,800.52 : x
  2. Step 2: Convert to fraction form
    6,784.41/9,362.94 = 3,800.52/x
  3. Step 3: Cross multiply
    6,784.41x = 9,362.94 × 3,800.52
  4. Step 4: Simplify right side
    6,784.41x = 35,584,047.85
  5. Step 5: Solve for x
    x = 35,584,047.85/6,784.41
  6. Step 6: Final answer
    x = 5,244.97

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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.