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Finding the Fourth Proportional to 8,475.76, 11,696.54 and 5,163.76

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Solution

The fourth proportional to 8,475.76, 11,696.54 and 5,163.76 is: 7,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.76 : 11,696.54 = 5,163.76 : x
  2. Step 2: Convert to fraction form
    8,475.76/11,696.54 = 5,163.76/x
  3. Step 3: Cross multiply
    8,475.76x = 11,696.54 × 5,163.76
  4. Step 4: Simplify right side
    8,475.76x = 60,398,125.39
  5. Step 5: Solve for x
    x = 60,398,125.39/8,475.76
  6. Step 6: Final answer
    x = 7,125.98

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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.