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Finding the Fourth Proportional to 6,309.39, 8,709.90 and 3,656.28

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Solution

The fourth proportional to 6,309.39, 8,709.90 and 3,656.28 is: 5,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.39 : 8,709.90 = 3,656.28 : x
  2. Step 2: Convert to fraction form
    6,309.39/8,709.90 = 3,656.28/x
  3. Step 3: Cross multiply
    6,309.39x = 8,709.90 × 3,656.28
  4. Step 4: Simplify right side
    6,309.39x = 31,845,833.17
  5. Step 5: Solve for x
    x = 31,845,833.17/6,309.39
  6. Step 6: Final answer
    x = 5,047.37

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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.