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Finding the Fourth Proportional to 9,196.70, 12,691.26 and 5,004.92

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Solution

The fourth proportional to 9,196.70, 12,691.26 and 5,004.92 is: 6,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.70 : 12,691.26 = 5,004.92 : x
  2. Step 2: Convert to fraction form
    9,196.70/12,691.26 = 5,004.92/x
  3. Step 3: Cross multiply
    9,196.70x = 12,691.26 × 5,004.92
  4. Step 4: Simplify right side
    9,196.70x = 63,518,741.00
  5. Step 5: Solve for x
    x = 63,518,741.00/9,196.70
  6. Step 6: Final answer
    x = 6,906.69

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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.