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Finding the Fourth Proportional to 10,616.96, 15,908.12 and 6,458.24

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Solution

The fourth proportional to 10,616.96, 15,908.12 and 6,458.24 is: 9,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.96 : 15,908.12 = 6,458.24 : x
  2. Step 2: Convert to fraction form
    10,616.96/15,908.12 = 6,458.24/x
  3. Step 3: Cross multiply
    10,616.96x = 15,908.12 × 6,458.24
  4. Step 4: Simplify right side
    10,616.96x = 102,738,512.82
  5. Step 5: Solve for x
    x = 102,738,512.82/10,616.96
  6. Step 6: Final answer
    x = 9,676.83

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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.