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Finding the Fourth Proportional to 12,642.82, 17,438.97 and 7,674.82

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Solution

The fourth proportional to 12,642.82, 17,438.97 and 7,674.82 is: 10,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.82 : 17,438.97 = 7,674.82 : x
  2. Step 2: Convert to fraction form
    12,642.82/17,438.97 = 7,674.82/x
  3. Step 3: Cross multiply
    12,642.82x = 17,438.97 × 7,674.82
  4. Step 4: Simplify right side
    12,642.82x = 133,840,955.74
  5. Step 5: Solve for x
    x = 133,840,955.74/12,642.82
  6. Step 6: Final answer
    x = 10,586.32

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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.