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Finding the Fourth Proportional to 12,167, 16,790.50 and 6,578.04

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Solution

The fourth proportional to 12,167, 16,790.50 and 6,578.04 is: 9,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167 : 16,790.50 = 6,578.04 : x
  2. Step 2: Convert to fraction form
    12,167/16,790.50 = 6,578.04/x
  3. Step 3: Cross multiply
    12,167x = 16,790.50 × 6,578.04
  4. Step 4: Simplify right side
    12,167x = 110,448,580.62
  5. Step 5: Solve for x
    x = 110,448,580.62/12,167
  6. Step 6: Final answer
    x = 9,077.72

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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.