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Finding the Fourth Proportional to 8,113.92, 11,192.76 and 4,964.64

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Solution

The fourth proportional to 8,113.92, 11,192.76 and 4,964.64 is: 6,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.92 : 11,192.76 = 4,964.64 : x
  2. Step 2: Convert to fraction form
    8,113.92/11,192.76 = 4,964.64/x
  3. Step 3: Cross multiply
    8,113.92x = 11,192.76 × 4,964.64
  4. Step 4: Simplify right side
    8,113.92x = 55,568,024.01
  5. Step 5: Solve for x
    x = 55,568,024.01/8,113.92
  6. Step 6: Final answer
    x = 6,848.48

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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.