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Finding the Fourth Proportional to 12,894.86, 17,794.23 and 7,305.50

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Solution

The fourth proportional to 12,894.86, 17,794.23 and 7,305.50 is: 10,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.86 : 17,794.23 = 7,305.50 : x
  2. Step 2: Convert to fraction form
    12,894.86/17,794.23 = 7,305.50/x
  3. Step 3: Cross multiply
    12,894.86x = 17,794.23 × 7,305.50
  4. Step 4: Simplify right side
    12,894.86x = 129,995,747.27
  5. Step 5: Solve for x
    x = 129,995,747.27/12,894.86
  6. Step 6: Final answer
    x = 10,081.21

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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.