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Finding the Fourth Proportional to 6,129.78, 9,194.98 and 1,747.54

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Solution

The fourth proportional to 6,129.78, 9,194.98 and 1,747.54 is: 2,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.78 : 9,194.98 = 1,747.54 : x
  2. Step 2: Convert to fraction form
    6,129.78/9,194.98 = 1,747.54/x
  3. Step 3: Cross multiply
    6,129.78x = 9,194.98 × 1,747.54
  4. Step 4: Simplify right side
    6,129.78x = 16,068,595.35
  5. Step 5: Solve for x
    x = 16,068,595.35/6,129.78
  6. Step 6: Final answer
    x = 2,621.40

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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.