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Finding the Fourth Proportional to 6,572.09, 9,069.69 and 3,588.12

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Solution

The fourth proportional to 6,572.09, 9,069.69 and 3,588.12 is: 4,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.09 : 9,069.69 = 3,588.12 : x
  2. Step 2: Convert to fraction form
    6,572.09/9,069.69 = 3,588.12/x
  3. Step 3: Cross multiply
    6,572.09x = 9,069.69 × 3,588.12
  4. Step 4: Simplify right side
    6,572.09x = 32,543,136.08
  5. Step 5: Solve for x
    x = 32,543,136.08/6,572.09
  6. Step 6: Final answer
    x = 4,951.72

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Half scale
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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.