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Finding the Fourth Proportional to 9,196.20, 13,794.30 and 7,009.20

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Solution

The fourth proportional to 9,196.20, 13,794.30 and 7,009.20 is: 10,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.20 : 13,794.30 = 7,009.20 : x
  2. Step 2: Convert to fraction form
    9,196.20/13,794.30 = 7,009.20/x
  3. Step 3: Cross multiply
    9,196.20x = 13,794.30 × 7,009.20
  4. Step 4: Simplify right side
    9,196.20x = 96,687,007.56
  5. Step 5: Solve for x
    x = 96,687,007.56/9,196.20
  6. Step 6: Final answer
    x = 10,513.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.