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Finding the Fourth Proportional to 6,294.14, 9,441.21 and 1,677.14

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Solution

The fourth proportional to 6,294.14, 9,441.21 and 1,677.14 is: 2,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.14 : 9,441.21 = 1,677.14 : x
  2. Step 2: Convert to fraction form
    6,294.14/9,441.21 = 1,677.14/x
  3. Step 3: Cross multiply
    6,294.14x = 9,441.21 × 1,677.14
  4. Step 4: Simplify right side
    6,294.14x = 15,834,230.94
  5. Step 5: Solve for x
    x = 15,834,230.94/6,294.14
  6. Step 6: Final answer
    x = 2,515.71

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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.