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Finding the Fourth Proportional to 6,523.59, 9,785.78 and 1,843.95

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Solution

The fourth proportional to 6,523.59, 9,785.78 and 1,843.95 is: 2,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.59 : 9,785.78 = 1,843.95 : x
  2. Step 2: Convert to fraction form
    6,523.59/9,785.78 = 1,843.95/x
  3. Step 3: Cross multiply
    6,523.59x = 9,785.78 × 1,843.95
  4. Step 4: Simplify right side
    6,523.59x = 18,044,533.79
  5. Step 5: Solve for x
    x = 18,044,533.79/6,523.59
  6. Step 6: Final answer
    x = 2,766.05

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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.