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Finding the Fourth Proportional to 6,498.54, 9,750.24 and 2,801.70

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Solution

The fourth proportional to 6,498.54, 9,750.24 and 2,801.70 is: 4,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.54 : 9,750.24 = 2,801.70 : x
  2. Step 2: Convert to fraction form
    6,498.54/9,750.24 = 2,801.70/x
  3. Step 3: Cross multiply
    6,498.54x = 9,750.24 × 2,801.70
  4. Step 4: Simplify right side
    6,498.54x = 27,317,247.41
  5. Step 5: Solve for x
    x = 27,317,247.41/6,498.54
  6. Step 6: Final answer
    x = 4,203.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.