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Finding the Fourth Proportional to 6,505.48, 9,761 and 2,124.28

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Solution

The fourth proportional to 6,505.48, 9,761 and 2,124.28 is: 3,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.48 : 9,761 = 2,124.28 : x
  2. Step 2: Convert to fraction form
    6,505.48/9,761 = 2,124.28/x
  3. Step 3: Cross multiply
    6,505.48x = 9,761 × 2,124.28
  4. Step 4: Simplify right side
    6,505.48x = 20,735,097.08
  5. Step 5: Solve for x
    x = 20,735,097.08/6,505.48
  6. Step 6: Final answer
    x = 3,187.33

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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.