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Finding the Fourth Proportional to 6,486.78, 9,730.20 and 3,563.50

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Solution

The fourth proportional to 6,486.78, 9,730.20 and 3,563.50 is: 5,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.78 : 9,730.20 = 3,563.50 : x
  2. Step 2: Convert to fraction form
    6,486.78/9,730.20 = 3,563.50/x
  3. Step 3: Cross multiply
    6,486.78x = 9,730.20 × 3,563.50
  4. Step 4: Simplify right side
    6,486.78x = 34,673,567.70
  5. Step 5: Solve for x
    x = 34,673,567.70/6,486.78
  6. Step 6: Final answer
    x = 5,345.27

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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.