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Finding the Fourth Proportional to 6,698.60, 10,043.82 and 3,000.14

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Solution

The fourth proportional to 6,698.60, 10,043.82 and 3,000.14 is: 4,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.60 : 10,043.82 = 3,000.14 : x
  2. Step 2: Convert to fraction form
    6,698.60/10,043.82 = 3,000.14/x
  3. Step 3: Cross multiply
    6,698.60x = 10,043.82 × 3,000.14
  4. Step 4: Simplify right side
    6,698.60x = 30,132,866.13
  5. Step 5: Solve for x
    x = 30,132,866.13/6,698.60
  6. Step 6: Final answer
    x = 4,498.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.