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Finding the Fourth Proportional to 6,238.08, 8,606.16 and 3,584.16

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Solution

The fourth proportional to 6,238.08, 8,606.16 and 3,584.16 is: 4,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.08 : 8,606.16 = 3,584.16 : x
  2. Step 2: Convert to fraction form
    6,238.08/8,606.16 = 3,584.16/x
  3. Step 3: Cross multiply
    6,238.08x = 8,606.16 × 3,584.16
  4. Step 4: Simplify right side
    6,238.08x = 30,845,854.43
  5. Step 5: Solve for x
    x = 30,845,854.43/6,238.08
  6. Step 6: Final answer
    x = 4,944.77

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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.