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Finding the Fourth Proportional to 11,471.76, 17,218.44 and 7,097.76

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Solution

The fourth proportional to 11,471.76, 17,218.44 and 7,097.76 is: 10,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.76 : 17,218.44 = 7,097.76 : x
  2. Step 2: Convert to fraction form
    11,471.76/17,218.44 = 7,097.76/x
  3. Step 3: Cross multiply
    11,471.76x = 17,218.44 × 7,097.76
  4. Step 4: Simplify right side
    11,471.76x = 122,212,354.69
  5. Step 5: Solve for x
    x = 122,212,354.69/11,471.76
  6. Step 6: Final answer
    x = 10,653.32

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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.