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Finding the Fourth Proportional to 6,097.98, 9,143.03 and 4,011.68

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Solution

The fourth proportional to 6,097.98, 9,143.03 and 4,011.68 is: 6,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.98 : 9,143.03 = 4,011.68 : x
  2. Step 2: Convert to fraction form
    6,097.98/9,143.03 = 4,011.68/x
  3. Step 3: Cross multiply
    6,097.98x = 9,143.03 × 4,011.68
  4. Step 4: Simplify right side
    6,097.98x = 36,678,844.82
  5. Step 5: Solve for x
    x = 36,678,844.82/6,097.98
  6. Step 6: Final answer
    x = 6,014.92

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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.