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Finding the Fourth Proportional to 6,007.49, 9,006.56 and 3,894.65

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Solution

The fourth proportional to 6,007.49, 9,006.56 and 3,894.65 is: 5,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.49 : 9,006.56 = 3,894.65 : x
  2. Step 2: Convert to fraction form
    6,007.49/9,006.56 = 3,894.65/x
  3. Step 3: Cross multiply
    6,007.49x = 9,006.56 × 3,894.65
  4. Step 4: Simplify right side
    6,007.49x = 35,077,398.90
  5. Step 5: Solve for x
    x = 35,077,398.90/6,007.49
  6. Step 6: Final answer
    x = 5,838.94

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1.5x scale

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.