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Finding the Fourth Proportional to 6,194.46, 9,285.42 and 2,682.91

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Solution

The fourth proportional to 6,194.46, 9,285.42 and 2,682.91 is: 4,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.46 : 9,285.42 = 2,682.91 : x
  2. Step 2: Convert to fraction form
    6,194.46/9,285.42 = 2,682.91/x
  3. Step 3: Cross multiply
    6,194.46x = 9,285.42 × 2,682.91
  4. Step 4: Simplify right side
    6,194.46x = 24,911,946.17
  5. Step 5: Solve for x
    x = 24,911,946.17/6,194.46
  6. Step 6: Final answer
    x = 4,021.65

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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.