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Finding the Fourth Proportional to 12,596.74, 17,385.25 and 7,293.22

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Solution

The fourth proportional to 12,596.74, 17,385.25 and 7,293.22 is: 10,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.74 : 17,385.25 = 7,293.22 : x
  2. Step 2: Convert to fraction form
    12,596.74/17,385.25 = 7,293.22/x
  3. Step 3: Cross multiply
    12,596.74x = 17,385.25 × 7,293.22
  4. Step 4: Simplify right side
    12,596.74x = 126,794,453.01
  5. Step 5: Solve for x
    x = 126,794,453.01/12,596.74
  6. Step 6: Final answer
    x = 10,065.66

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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.