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Finding the Fourth Proportional to 10,642.99, 14,687.85 and 5,927.17

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Solution

The fourth proportional to 10,642.99, 14,687.85 and 5,927.17 is: 8,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.99 : 14,687.85 = 5,927.17 : x
  2. Step 2: Convert to fraction form
    10,642.99/14,687.85 = 5,927.17/x
  3. Step 3: Cross multiply
    10,642.99x = 14,687.85 × 5,927.17
  4. Step 4: Simplify right side
    10,642.99x = 87,057,383.88
  5. Step 5: Solve for x
    x = 87,057,383.88/10,642.99
  6. Step 6: Final answer
    x = 8,179.79

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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.