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Finding the Fourth Proportional to 6,269.39, 9,348.74 and 6,213.14

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Solution

The fourth proportional to 6,269.39, 9,348.74 and 6,213.14 is: 9,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.39 : 9,348.74 = 6,213.14 : x
  2. Step 2: Convert to fraction form
    6,269.39/9,348.74 = 6,213.14/x
  3. Step 3: Cross multiply
    6,269.39x = 9,348.74 × 6,213.14
  4. Step 4: Simplify right side
    6,269.39x = 58,084,952.63
  5. Step 5: Solve for x
    x = 58,084,952.63/6,269.39
  6. Step 6: Final answer
    x = 9,264.86

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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.