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Finding the Fourth Proportional to 6,669.92, 9,204.64 and 3,686.08

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Solution

The fourth proportional to 6,669.92, 9,204.64 and 3,686.08 is: 5,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.92 : 9,204.64 = 3,686.08 : x
  2. Step 2: Convert to fraction form
    6,669.92/9,204.64 = 3,686.08/x
  3. Step 3: Cross multiply
    6,669.92x = 9,204.64 × 3,686.08
  4. Step 4: Simplify right side
    6,669.92x = 33,929,039.41
  5. Step 5: Solve for x
    x = 33,929,039.41/6,669.92
  6. Step 6: Final answer
    x = 5,086.87

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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.