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Finding the Fourth Proportional to 6,503.56, 9,754.80 and 1,823.20

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Solution

The fourth proportional to 6,503.56, 9,754.80 and 1,823.20 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.56 : 9,754.80 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    6,503.56/9,754.80 = 1,823.20/x
  3. Step 3: Cross multiply
    6,503.56x = 9,754.80 × 1,823.20
  4. Step 4: Simplify right side
    6,503.56x = 17,784,951.36
  5. Step 5: Solve for x
    x = 17,784,951.36/6,503.56
  6. Step 6: Final answer
    x = 2,734.65

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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.