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Finding the Fourth Proportional to 12,596.13, 17,389.86 and 8,352.96

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Solution

The fourth proportional to 12,596.13, 17,389.86 and 8,352.96 is: 11,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.13 : 17,389.86 = 8,352.96 : x
  2. Step 2: Convert to fraction form
    12,596.13/17,389.86 = 8,352.96/x
  3. Step 3: Cross multiply
    12,596.13x = 17,389.86 × 8,352.96
  4. Step 4: Simplify right side
    12,596.13x = 145,256,804.99
  5. Step 5: Solve for x
    x = 145,256,804.99/12,596.13
  6. Step 6: Final answer
    x = 11,531.86

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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.