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Finding the Fourth Proportional to 7,755.40, 11,633.10 and 3,138.40

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Solution

The fourth proportional to 7,755.40, 11,633.10 and 3,138.40 is: 4,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.40 : 11,633.10 = 3,138.40 : x
  2. Step 2: Convert to fraction form
    7,755.40/11,633.10 = 3,138.40/x
  3. Step 3: Cross multiply
    7,755.40x = 11,633.10 × 3,138.40
  4. Step 4: Simplify right side
    7,755.40x = 36,509,321.04
  5. Step 5: Solve for x
    x = 36,509,321.04/7,755.40
  6. Step 6: Final answer
    x = 4,707.60

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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.