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Finding the Fourth Proportional to 6,503.58, 9,753.63 and 1,823.31

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Solution

The fourth proportional to 6,503.58, 9,753.63 and 1,823.31 is: 2,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.58 : 9,753.63 = 1,823.31 : x
  2. Step 2: Convert to fraction form
    6,503.58/9,753.63 = 1,823.31/x
  3. Step 3: Cross multiply
    6,503.58x = 9,753.63 × 1,823.31
  4. Step 4: Simplify right side
    6,503.58x = 17,783,891.12
  5. Step 5: Solve for x
    x = 17,783,891.12/6,503.58
  6. Step 6: Final answer
    x = 2,734.48

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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.