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Finding the Fourth Proportional to 9,846.76, 13,593.06 and 8,497

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Solution

The fourth proportional to 9,846.76, 13,593.06 and 8,497 is: 11,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.76 : 13,593.06 = 8,497 : x
  2. Step 2: Convert to fraction form
    9,846.76/13,593.06 = 8,497/x
  3. Step 3: Cross multiply
    9,846.76x = 13,593.06 × 8,497
  4. Step 4: Simplify right side
    9,846.76x = 115,500,230.82
  5. Step 5: Solve for x
    x = 115,500,230.82/9,846.76
  6. Step 6: Final answer
    x = 11,729.77

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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.