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Finding the Fourth Proportional to 8,536.92, 12,807.90 and 5,163.48

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Solution

The fourth proportional to 8,536.92, 12,807.90 and 5,163.48 is: 7,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.92 : 12,807.90 = 5,163.48 : x
  2. Step 2: Convert to fraction form
    8,536.92/12,807.90 = 5,163.48/x
  3. Step 3: Cross multiply
    8,536.92x = 12,807.90 × 5,163.48
  4. Step 4: Simplify right side
    8,536.92x = 66,133,335.49
  5. Step 5: Solve for x
    x = 66,133,335.49/8,536.92
  6. Step 6: Final answer
    x = 7,746.74

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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.