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Finding the Fourth Proportional to 6,007.91, 9,013.49 and 5,429.57

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Solution

The fourth proportional to 6,007.91, 9,013.49 and 5,429.57 is: 8,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.91 : 9,013.49 = 5,429.57 : x
  2. Step 2: Convert to fraction form
    6,007.91/9,013.49 = 5,429.57/x
  3. Step 3: Cross multiply
    6,007.91x = 9,013.49 × 5,429.57
  4. Step 4: Simplify right side
    6,007.91x = 48,939,302.68
  5. Step 5: Solve for x
    x = 48,939,302.68/6,007.91
  6. Step 6: Final answer
    x = 8,145.82

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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.