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Finding the Fourth Proportional to 6,493.22, 9,730.59 and 5,025.50

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Solution

The fourth proportional to 6,493.22, 9,730.59 and 5,025.50 is: 7,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.22 : 9,730.59 = 5,025.50 : x
  2. Step 2: Convert to fraction form
    6,493.22/9,730.59 = 5,025.50/x
  3. Step 3: Cross multiply
    6,493.22x = 9,730.59 × 5,025.50
  4. Step 4: Simplify right side
    6,493.22x = 48,901,080.05
  5. Step 5: Solve for x
    x = 48,901,080.05/6,493.22
  6. Step 6: Final answer
    x = 7,531.10

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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.