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Finding the Fourth Proportional to 6,811.00, 9,397.74 and 4,014.88

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Solution

The fourth proportional to 6,811.00, 9,397.74 and 4,014.88 is: 5,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.00 : 9,397.74 = 4,014.88 : x
  2. Step 2: Convert to fraction form
    6,811.00/9,397.74 = 4,014.88/x
  3. Step 3: Cross multiply
    6,811.00x = 9,397.74 × 4,014.88
  4. Step 4: Simplify right side
    6,811.00x = 37,730,751.38
  5. Step 5: Solve for x
    x = 37,730,751.38/6,811.00
  6. Step 6: Final answer
    x = 5,539.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.