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Finding the Fourth Proportional to 7,033.52, 9,706.71 and 4,049.30

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Solution

The fourth proportional to 7,033.52, 9,706.71 and 4,049.30 is: 5,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.52 : 9,706.71 = 4,049.30 : x
  2. Step 2: Convert to fraction form
    7,033.52/9,706.71 = 4,049.30/x
  3. Step 3: Cross multiply
    7,033.52x = 9,706.71 × 4,049.30
  4. Step 4: Simplify right side
    7,033.52x = 39,305,332.27
  5. Step 5: Solve for x
    x = 39,305,332.27/7,033.52
  6. Step 6: Final answer
    x = 5,588.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.