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Finding the Fourth Proportional to 6,453.14, 9,679.71 and 4,509.14

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Solution

The fourth proportional to 6,453.14, 9,679.71 and 4,509.14 is: 6,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.14 : 9,679.71 = 4,509.14 : x
  2. Step 2: Convert to fraction form
    6,453.14/9,679.71 = 4,509.14/x
  3. Step 3: Cross multiply
    6,453.14x = 9,679.71 × 4,509.14
  4. Step 4: Simplify right side
    6,453.14x = 43,647,167.55
  5. Step 5: Solve for x
    x = 43,647,167.55/6,453.14
  6. Step 6: Final answer
    x = 6,763.71

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Half scale
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Double scale
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Similar ratio
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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.