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Finding the Fourth Proportional to 6,546.56, 9,818.22 and 1,929.56

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Solution

The fourth proportional to 6,546.56, 9,818.22 and 1,929.56 is: 2,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.56 : 9,818.22 = 1,929.56 : x
  2. Step 2: Convert to fraction form
    6,546.56/9,818.22 = 1,929.56/x
  3. Step 3: Cross multiply
    6,546.56x = 9,818.22 × 1,929.56
  4. Step 4: Simplify right side
    6,546.56x = 18,944,844.58
  5. Step 5: Solve for x
    x = 18,944,844.58/6,546.56
  6. Step 6: Final answer
    x = 2,893.86

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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.