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Finding the Fourth Proportional to 6,563.20, 9,841.20 and 2,402.50

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Solution

The fourth proportional to 6,563.20, 9,841.20 and 2,402.50 is: 3,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.20 : 9,841.20 = 2,402.50 : x
  2. Step 2: Convert to fraction form
    6,563.20/9,841.20 = 2,402.50/x
  3. Step 3: Cross multiply
    6,563.20x = 9,841.20 × 2,402.50
  4. Step 4: Simplify right side
    6,563.20x = 23,643,483
  5. Step 5: Solve for x
    x = 23,643,483/6,563.20
  6. Step 6: Final answer
    x = 3,602.43

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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.