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Finding the Fourth Proportional to 3,434.33, 5,151.70 and 969.34

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Solution

The fourth proportional to 3,434.33, 5,151.70 and 969.34 is: 1,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.33 : 5,151.70 = 969.34 : x
  2. Step 2: Convert to fraction form
    3,434.33/5,151.70 = 969.34/x
  3. Step 3: Cross multiply
    3,434.33x = 5,151.70 × 969.34
  4. Step 4: Simplify right side
    3,434.33x = 4,993,748.88
  5. Step 5: Solve for x
    x = 4,993,748.88/3,434.33
  6. Step 6: Final answer
    x = 1,454.07

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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.