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Finding the Fourth Proportional to 6,652.86, 9,180.78 and 3,668.66

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Solution

The fourth proportional to 6,652.86, 9,180.78 and 3,668.66 is: 5,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.86 : 9,180.78 = 3,668.66 : x
  2. Step 2: Convert to fraction form
    6,652.86/9,180.78 = 3,668.66/x
  3. Step 3: Cross multiply
    6,652.86x = 9,180.78 × 3,668.66
  4. Step 4: Simplify right side
    6,652.86x = 33,681,114.45
  5. Step 5: Solve for x
    x = 33,681,114.45/6,652.86
  6. Step 6: Final answer
    x = 5,062.65

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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.