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Finding the Fourth Proportional to 12,214.52, 16,856.04 and 6,625.52

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Solution

The fourth proportional to 12,214.52, 16,856.04 and 6,625.52 is: 9,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.52 : 16,856.04 = 6,625.52 : x
  2. Step 2: Convert to fraction form
    12,214.52/16,856.04 = 6,625.52/x
  3. Step 3: Cross multiply
    12,214.52x = 16,856.04 × 6,625.52
  4. Step 4: Simplify right side
    12,214.52x = 111,680,030.14
  5. Step 5: Solve for x
    x = 111,680,030.14/12,214.52
  6. Step 6: Final answer
    x = 9,143.22

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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.