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Finding the Fourth Proportional to 6,006, 9,008.94 and 2,055.34

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Solution

The fourth proportional to 6,006, 9,008.94 and 2,055.34 is: 3,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006 : 9,008.94 = 2,055.34 : x
  2. Step 2: Convert to fraction form
    6,006/9,008.94 = 2,055.34/x
  3. Step 3: Cross multiply
    6,006x = 9,008.94 × 2,055.34
  4. Step 4: Simplify right side
    6,006x = 18,516,434.74
  5. Step 5: Solve for x
    x = 18,516,434.74/6,006
  6. Step 6: Final answer
    x = 3,082.99

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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.