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Finding the Fourth Proportional to 6,099.91, 9,143.71 and 4,635.98

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Solution

The fourth proportional to 6,099.91, 9,143.71 and 4,635.98 is: 6,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.91 : 9,143.71 = 4,635.98 : x
  2. Step 2: Convert to fraction form
    6,099.91/9,143.71 = 4,635.98/x
  3. Step 3: Cross multiply
    6,099.91x = 9,143.71 × 4,635.98
  4. Step 4: Simplify right side
    6,099.91x = 42,390,098.14
  5. Step 5: Solve for x
    x = 42,390,098.14/6,099.91
  6. Step 6: Final answer
    x = 6,949.30

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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.