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Finding the Fourth Proportional to 9,755.70, 13,463.38 and 5,506.57

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Solution

The fourth proportional to 9,755.70, 13,463.38 and 5,506.57 is: 7,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.70 : 13,463.38 = 5,506.57 : x
  2. Step 2: Convert to fraction form
    9,755.70/13,463.38 = 5,506.57/x
  3. Step 3: Cross multiply
    9,755.70x = 13,463.38 × 5,506.57
  4. Step 4: Simplify right side
    9,755.70x = 74,137,044.41
  5. Step 5: Solve for x
    x = 74,137,044.41/9,755.70
  6. Step 6: Final answer
    x = 7,599.36

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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.