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Finding the Fourth Proportional to 11,493.96, 17,206.92 and 7,097.28

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Solution

The fourth proportional to 11,493.96, 17,206.92 and 7,097.28 is: 10,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.96 : 17,206.92 = 7,097.28 : x
  2. Step 2: Convert to fraction form
    11,493.96/17,206.92 = 7,097.28/x
  3. Step 3: Cross multiply
    11,493.96x = 17,206.92 × 7,097.28
  4. Step 4: Simplify right side
    11,493.96x = 122,122,329.18
  5. Step 5: Solve for x
    x = 122,122,329.18/11,493.96
  6. Step 6: Final answer
    x = 10,624.91

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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.