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Finding the Fourth Proportional to 6,730.50, 10,071.05 and 5,617.16

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Solution

The fourth proportional to 6,730.50, 10,071.05 and 5,617.16 is: 8,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.50 : 10,071.05 = 5,617.16 : x
  2. Step 2: Convert to fraction form
    6,730.50/10,071.05 = 5,617.16/x
  3. Step 3: Cross multiply
    6,730.50x = 10,071.05 × 5,617.16
  4. Step 4: Simplify right side
    6,730.50x = 56,570,732.87
  5. Step 5: Solve for x
    x = 56,570,732.87/6,730.50
  6. Step 6: Final answer
    x = 8,405.14

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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.