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Finding the Fourth Proportional to 6,312.84, 9,469.24 and 1,930.29

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Solution

The fourth proportional to 6,312.84, 9,469.24 and 1,930.29 is: 2,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.84 : 9,469.24 = 1,930.29 : x
  2. Step 2: Convert to fraction form
    6,312.84/9,469.24 = 1,930.29/x
  3. Step 3: Cross multiply
    6,312.84x = 9,469.24 × 1,930.29
  4. Step 4: Simplify right side
    6,312.84x = 18,278,403.07
  5. Step 5: Solve for x
    x = 18,278,403.07/6,312.84
  6. Step 6: Final answer
    x = 2,895.43

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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.