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Finding the Fourth Proportional to 7,673.58, 11,500.65 and 3,286.22

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Solution

The fourth proportional to 7,673.58, 11,500.65 and 3,286.22 is: 4,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.58 : 11,500.65 = 3,286.22 : x
  2. Step 2: Convert to fraction form
    7,673.58/11,500.65 = 3,286.22/x
  3. Step 3: Cross multiply
    7,673.58x = 11,500.65 × 3,286.22
  4. Step 4: Simplify right side
    7,673.58x = 37,793,608.54
  5. Step 5: Solve for x
    x = 37,793,608.54/7,673.58
  6. Step 6: Final answer
    x = 4,925.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.