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Finding the Fourth Proportional to 7,693.44, 10,616.88 and 4,336.24

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Solution

The fourth proportional to 7,693.44, 10,616.88 and 4,336.24 is: 5,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.44 : 10,616.88 = 4,336.24 : x
  2. Step 2: Convert to fraction form
    7,693.44/10,616.88 = 4,336.24/x
  3. Step 3: Cross multiply
    7,693.44x = 10,616.88 × 4,336.24
  4. Step 4: Simplify right side
    7,693.44x = 46,037,339.73
  5. Step 5: Solve for x
    x = 46,037,339.73/7,693.44
  6. Step 6: Final answer
    x = 5,983.97

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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.