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Finding the Fourth Proportional to 6,283.70, 9,428.52 and 4,204.70

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Solution

The fourth proportional to 6,283.70, 9,428.52 and 4,204.70 is: 6,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.70 : 9,428.52 = 4,204.70 : x
  2. Step 2: Convert to fraction form
    6,283.70/9,428.52 = 4,204.70/x
  3. Step 3: Cross multiply
    6,283.70x = 9,428.52 × 4,204.70
  4. Step 4: Simplify right side
    6,283.70x = 39,644,098.04
  5. Step 5: Solve for x
    x = 39,644,098.04/6,283.70
  6. Step 6: Final answer
    x = 6,309.04

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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.