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Finding the Fourth Proportional to 15,493.58, 21,382.96 and 9,205.96

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Solution

The fourth proportional to 15,493.58, 21,382.96 and 9,205.96 is: 12,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.58 : 21,382.96 = 9,205.96 : x
  2. Step 2: Convert to fraction form
    15,493.58/21,382.96 = 9,205.96/x
  3. Step 3: Cross multiply
    15,493.58x = 21,382.96 × 9,205.96
  4. Step 4: Simplify right side
    15,493.58x = 196,850,674.44
  5. Step 5: Solve for x
    x = 196,850,674.44/15,493.58
  6. Step 6: Final answer
    x = 12,705.31

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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.