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Finding the Fourth Proportional to 3,460.14, 5,190.21 and 863.10

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Solution

The fourth proportional to 3,460.14, 5,190.21 and 863.10 is: 1,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.14 : 5,190.21 = 863.10 : x
  2. Step 2: Convert to fraction form
    3,460.14/5,190.21 = 863.10/x
  3. Step 3: Cross multiply
    3,460.14x = 5,190.21 × 863.10
  4. Step 4: Simplify right side
    3,460.14x = 4,479,670.25
  5. Step 5: Solve for x
    x = 4,479,670.25/3,460.14
  6. Step 6: Final answer
    x = 1,294.65

Related Problems

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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.