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Finding the Fourth Proportional to 6,840.92, 10,246.53 and 4,200.41

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Solution

The fourth proportional to 6,840.92, 10,246.53 and 4,200.41 is: 6,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.92 : 10,246.53 = 4,200.41 : x
  2. Step 2: Convert to fraction form
    6,840.92/10,246.53 = 4,200.41/x
  3. Step 3: Cross multiply
    6,840.92x = 10,246.53 × 4,200.41
  4. Step 4: Simplify right side
    6,840.92x = 43,039,668.45
  5. Step 5: Solve for x
    x = 43,039,668.45/6,840.92
  6. Step 6: Final answer
    x = 6,291.50

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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.