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Finding the Fourth Proportional to 3,283.70, 4,924.10 and 943.18

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Solution

The fourth proportional to 3,283.70, 4,924.10 and 943.18 is: 1,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.70 : 4,924.10 = 943.18 : x
  2. Step 2: Convert to fraction form
    3,283.70/4,924.10 = 943.18/x
  3. Step 3: Cross multiply
    3,283.70x = 4,924.10 × 943.18
  4. Step 4: Simplify right side
    3,283.70x = 4,644,302.69
  5. Step 5: Solve for x
    x = 4,644,302.69/3,283.70
  6. Step 6: Final answer
    x = 1,414.35

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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.