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Finding the Fourth Proportional to 9,652.52, 13,321.07 and 5,619.43

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Solution

The fourth proportional to 9,652.52, 13,321.07 and 5,619.43 is: 7,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.52 : 13,321.07 = 5,619.43 : x
  2. Step 2: Convert to fraction form
    9,652.52/13,321.07 = 5,619.43/x
  3. Step 3: Cross multiply
    9,652.52x = 13,321.07 × 5,619.43
  4. Step 4: Simplify right side
    9,652.52x = 74,856,820.39
  5. Step 5: Solve for x
    x = 74,856,820.39/9,652.52
  6. Step 6: Final answer
    x = 7,755.16

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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.