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Finding the Fourth Proportional to 6,867.92, 9,477.68 and 3,883.75

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Solution

The fourth proportional to 6,867.92, 9,477.68 and 3,883.75 is: 5,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.92 : 9,477.68 = 3,883.75 : x
  2. Step 2: Convert to fraction form
    6,867.92/9,477.68 = 3,883.75/x
  3. Step 3: Cross multiply
    6,867.92x = 9,477.68 × 3,883.75
  4. Step 4: Simplify right side
    6,867.92x = 36,808,896.59
  5. Step 5: Solve for x
    x = 36,808,896.59/6,867.92
  6. Step 6: Final answer
    x = 5,359.54

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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.