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Finding the Fourth Proportional to 5,134.76, 7,665.00 and 4,511.98

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Solution

The fourth proportional to 5,134.76, 7,665.00 and 4,511.98 is: 6,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.76 : 7,665.00 = 4,511.98 : x
  2. Step 2: Convert to fraction form
    5,134.76/7,665.00 = 4,511.98/x
  3. Step 3: Cross multiply
    5,134.76x = 7,665.00 × 4,511.98
  4. Step 4: Simplify right side
    5,134.76x = 34,584,297.80
  5. Step 5: Solve for x
    x = 34,584,297.80/5,134.76
  6. Step 6: Final answer
    x = 6,735.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.