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Finding the Fourth Proportional to 3,014.20, 4,229.60 and 3,014.20

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Solution

The fourth proportional to 3,014.20, 4,229.60 and 3,014.20 is: 4,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.20 : 4,229.60 = 3,014.20 : x
  2. Step 2: Convert to fraction form
    3,014.20/4,229.60 = 3,014.20/x
  3. Step 3: Cross multiply
    3,014.20x = 4,229.60 × 3,014.20
  4. Step 4: Simplify right side
    3,014.20x = 12,748,860.32
  5. Step 5: Solve for x
    x = 12,748,860.32/3,014.20
  6. Step 6: Final answer
    x = 4,229.60

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.