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Finding the Fourth Proportional to 12,051, 16,634.07 and 6,747.57

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Solution

The fourth proportional to 12,051, 16,634.07 and 6,747.57 is: 9,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051 : 16,634.07 = 6,747.57 : x
  2. Step 2: Convert to fraction form
    12,051/16,634.07 = 6,747.57/x
  3. Step 3: Cross multiply
    12,051x = 16,634.07 × 6,747.57
  4. Step 4: Simplify right side
    12,051x = 112,239,551.71
  5. Step 5: Solve for x
    x = 112,239,551.71/12,051
  6. Step 6: Final answer
    x = 9,313.71

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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.