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Finding the Fourth Proportional to 3,433.66, 5,150.50 and 968.49

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Solution

The fourth proportional to 3,433.66, 5,150.50 and 968.49 is: 1,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.66 : 5,150.50 = 968.49 : x
  2. Step 2: Convert to fraction form
    3,433.66/5,150.50 = 968.49/x
  3. Step 3: Cross multiply
    3,433.66x = 5,150.50 × 968.49
  4. Step 4: Simplify right side
    3,433.66x = 4,988,181.99
  5. Step 5: Solve for x
    x = 4,988,181.99/3,433.66
  6. Step 6: Final answer
    x = 1,452.73

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Half scale
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Double scale
Find fourth proportional to 3,434.66, 5,152 and 969.49
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.