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Finding the Fourth Proportional to 6,006.34, 9,011 and 1,846.18

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Solution

The fourth proportional to 6,006.34, 9,011 and 1,846.18 is: 2,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.34 : 9,011 = 1,846.18 : x
  2. Step 2: Convert to fraction form
    6,006.34/9,011 = 1,846.18/x
  3. Step 3: Cross multiply
    6,006.34x = 9,011 × 1,846.18
  4. Step 4: Simplify right side
    6,006.34x = 16,635,927.98
  5. Step 5: Solve for x
    x = 16,635,927.98/6,006.34
  6. Step 6: Final answer
    x = 2,769.73

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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.