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Finding the Fourth Proportional to 12,894.50, 17,794.26 and 7,230.17

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Solution

The fourth proportional to 12,894.50, 17,794.26 and 7,230.17 is: 9,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.50 : 17,794.26 = 7,230.17 : x
  2. Step 2: Convert to fraction form
    12,894.50/17,794.26 = 7,230.17/x
  3. Step 3: Cross multiply
    12,894.50x = 17,794.26 × 7,230.17
  4. Step 4: Simplify right side
    12,894.50x = 128,655,524.82
  5. Step 5: Solve for x
    x = 128,655,524.82/12,894.50
  6. Step 6: Final answer
    x = 9,977.55

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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.