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Finding the Fourth Proportional to 6,684.20, 10,023.54 and 2,523.50

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Solution

The fourth proportional to 6,684.20, 10,023.54 and 2,523.50 is: 3,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.20 : 10,023.54 = 2,523.50 : x
  2. Step 2: Convert to fraction form
    6,684.20/10,023.54 = 2,523.50/x
  3. Step 3: Cross multiply
    6,684.20x = 10,023.54 × 2,523.50
  4. Step 4: Simplify right side
    6,684.20x = 25,294,403.19
  5. Step 5: Solve for x
    x = 25,294,403.19/6,684.20
  6. Step 6: Final answer
    x = 3,784.21

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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.