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Finding the Fourth Proportional to 6,546.80, 9,044.80 and 6,021.92

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Solution

The fourth proportional to 6,546.80, 9,044.80 and 6,021.92 is: 8,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.80 : 9,044.80 = 6,021.92 : x
  2. Step 2: Convert to fraction form
    6,546.80/9,044.80 = 6,021.92/x
  3. Step 3: Cross multiply
    6,546.80x = 9,044.80 × 6,021.92
  4. Step 4: Simplify right side
    6,546.80x = 54,467,062.02
  5. Step 5: Solve for x
    x = 54,467,062.02/6,546.80
  6. Step 6: Final answer
    x = 8,319.65

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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.