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Finding the Fourth Proportional to 11,796.17, 16,278.99 and 6,491.12

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Solution

The fourth proportional to 11,796.17, 16,278.99 and 6,491.12 is: 8,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.17 : 16,278.99 = 6,491.12 : x
  2. Step 2: Convert to fraction form
    11,796.17/16,278.99 = 6,491.12/x
  3. Step 3: Cross multiply
    11,796.17x = 16,278.99 × 6,491.12
  4. Step 4: Simplify right side
    11,796.17x = 105,668,877.57
  5. Step 5: Solve for x
    x = 105,668,877.57/11,796.17
  6. Step 6: Final answer
    x = 8,957.90

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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.