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Finding the Fourth Proportional to 7,793.58, 11,702.22 and 6,228.96

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Solution

The fourth proportional to 7,793.58, 11,702.22 and 6,228.96 is: 9,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.58 : 11,702.22 = 6,228.96 : x
  2. Step 2: Convert to fraction form
    7,793.58/11,702.22 = 6,228.96/x
  3. Step 3: Cross multiply
    7,793.58x = 11,702.22 × 6,228.96
  4. Step 4: Simplify right side
    7,793.58x = 72,892,660.29
  5. Step 5: Solve for x
    x = 72,892,660.29/7,793.58
  6. Step 6: Final answer
    x = 9,352.91

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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.