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Finding the Fourth Proportional to 6,269.46, 9,348.94 and 6,213.25

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Solution

The fourth proportional to 6,269.46, 9,348.94 and 6,213.25 is: 9,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.46 : 9,348.94 = 6,213.25 : x
  2. Step 2: Convert to fraction form
    6,269.46/9,348.94 = 6,213.25/x
  3. Step 3: Cross multiply
    6,269.46x = 9,348.94 × 6,213.25
  4. Step 4: Simplify right side
    6,269.46x = 58,087,223.64
  5. Step 5: Solve for x
    x = 58,087,223.64/6,269.46
  6. Step 6: Final answer
    x = 9,265.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.