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Finding the Fourth Proportional to 9,653.43, 13,321.22 and 5,619.63

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Solution

The fourth proportional to 9,653.43, 13,321.22 and 5,619.63 is: 7,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.43 : 13,321.22 = 5,619.63 : x
  2. Step 2: Convert to fraction form
    9,653.43/13,321.22 = 5,619.63/x
  3. Step 3: Cross multiply
    9,653.43x = 13,321.22 × 5,619.63
  4. Step 4: Simplify right side
    9,653.43x = 74,860,299.45
  5. Step 5: Solve for x
    x = 74,860,299.45/9,653.43
  6. Step 6: Final answer
    x = 7,754.79

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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.