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Finding the Fourth Proportional to 6,006.70, 9,011.46 and 2,058

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Solution

The fourth proportional to 6,006.70, 9,011.46 and 2,058 is: 3,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.70 : 9,011.46 = 2,058 : x
  2. Step 2: Convert to fraction form
    6,006.70/9,011.46 = 2,058/x
  3. Step 3: Cross multiply
    6,006.70x = 9,011.46 × 2,058
  4. Step 4: Simplify right side
    6,006.70x = 18,545,574.39
  5. Step 5: Solve for x
    x = 18,545,574.39/6,006.70
  6. Step 6: Final answer
    x = 3,087.48

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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.