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Finding the Fourth Proportional to 7,821.52, 10,793.82 and 4,464.16

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Solution

The fourth proportional to 7,821.52, 10,793.82 and 4,464.16 is: 6,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.52 : 10,793.82 = 4,464.16 : x
  2. Step 2: Convert to fraction form
    7,821.52/10,793.82 = 4,464.16/x
  3. Step 3: Cross multiply
    7,821.52x = 10,793.82 × 4,464.16
  4. Step 4: Simplify right side
    7,821.52x = 48,185,339.49
  5. Step 5: Solve for x
    x = 48,185,339.49/7,821.52
  6. Step 6: Final answer
    x = 6,160.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.