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Finding the Fourth Proportional to 6,493.46, 9,739.23 and 2,388.50

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Solution

The fourth proportional to 6,493.46, 9,739.23 and 2,388.50 is: 3,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.46 : 9,739.23 = 2,388.50 : x
  2. Step 2: Convert to fraction form
    6,493.46/9,739.23 = 2,388.50/x
  3. Step 3: Cross multiply
    6,493.46x = 9,739.23 × 2,388.50
  4. Step 4: Simplify right side
    6,493.46x = 23,262,150.86
  5. Step 5: Solve for x
    x = 23,262,150.86/6,493.46
  6. Step 6: Final answer
    x = 3,582.40

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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.