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Finding the Fourth Proportional to 9,755.92, 13,463.38 and 5,506.17

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Solution

The fourth proportional to 9,755.92, 13,463.38 and 5,506.17 is: 7,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.92 : 13,463.38 = 5,506.17 : x
  2. Step 2: Convert to fraction form
    9,755.92/13,463.38 = 5,506.17/x
  3. Step 3: Cross multiply
    9,755.92x = 13,463.38 × 5,506.17
  4. Step 4: Simplify right side
    9,755.92x = 74,131,659.05
  5. Step 5: Solve for x
    x = 74,131,659.05/9,755.92
  6. Step 6: Final answer
    x = 7,598.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.