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Finding the Fourth Proportional to 6,572.46, 9,850.49 and 3,286.50

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Solution

The fourth proportional to 6,572.46, 9,850.49 and 3,286.50 is: 4,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.46 : 9,850.49 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    6,572.46/9,850.49 = 3,286.50/x
  3. Step 3: Cross multiply
    6,572.46x = 9,850.49 × 3,286.50
  4. Step 4: Simplify right side
    6,572.46x = 32,373,586.13
  5. Step 5: Solve for x
    x = 32,373,586.13/6,572.46
  6. Step 6: Final answer
    x = 4,925.64

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Half scale
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Double scale
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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.