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Finding the Fourth Proportional to 6,580.13, 9,869.90 and 2,419.84

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Solution

The fourth proportional to 6,580.13, 9,869.90 and 2,419.84 is: 3,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.13 : 9,869.90 = 2,419.84 : x
  2. Step 2: Convert to fraction form
    6,580.13/9,869.90 = 2,419.84/x
  3. Step 3: Cross multiply
    6,580.13x = 9,869.90 × 2,419.84
  4. Step 4: Simplify right side
    6,580.13x = 23,883,542.04
  5. Step 5: Solve for x
    x = 23,883,542.04/6,580.13
  6. Step 6: Final answer
    x = 3,629.64

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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.