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Finding the Fourth Proportional to 12,296.57, 16,971.06 and 7,519.25

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Solution

The fourth proportional to 12,296.57, 16,971.06 and 7,519.25 is: 10,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.57 : 16,971.06 = 7,519.25 : x
  2. Step 2: Convert to fraction form
    12,296.57/16,971.06 = 7,519.25/x
  3. Step 3: Cross multiply
    12,296.57x = 16,971.06 × 7,519.25
  4. Step 4: Simplify right side
    12,296.57x = 127,609,558.05
  5. Step 5: Solve for x
    x = 127,609,558.05/12,296.57
  6. Step 6: Final answer
    x = 10,377.66

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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.