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Finding the Fourth Proportional to 5,785.46, 8,664.35 and 5,494.83

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Solution

The fourth proportional to 5,785.46, 8,664.35 and 5,494.83 is: 8,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.46 : 8,664.35 = 5,494.83 : x
  2. Step 2: Convert to fraction form
    5,785.46/8,664.35 = 5,494.83/x
  3. Step 3: Cross multiply
    5,785.46x = 8,664.35 × 5,494.83
  4. Step 4: Simplify right side
    5,785.46x = 47,609,059.51
  5. Step 5: Solve for x
    x = 47,609,059.51/5,785.46
  6. Step 6: Final answer
    x = 8,229.10

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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.