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Finding the Fourth Proportional to 12,596.10, 17,379.47 and 8,114.45

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Solution

The fourth proportional to 12,596.10, 17,379.47 and 8,114.45 is: 11,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.10 : 17,379.47 = 8,114.45 : x
  2. Step 2: Convert to fraction form
    12,596.10/17,379.47 = 8,114.45/x
  3. Step 3: Cross multiply
    12,596.10x = 17,379.47 × 8,114.45
  4. Step 4: Simplify right side
    12,596.10x = 141,024,712.87
  5. Step 5: Solve for x
    x = 141,024,712.87/12,596.10
  6. Step 6: Final answer
    x = 11,195.90

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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.