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Finding the Fourth Proportional to 11,497.46, 17,212.17 and 7,100.78

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Solution

The fourth proportional to 11,497.46, 17,212.17 and 7,100.78 is: 10,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.46 : 17,212.17 = 7,100.78 : x
  2. Step 2: Convert to fraction form
    11,497.46/17,212.17 = 7,100.78/x
  3. Step 3: Cross multiply
    11,497.46x = 17,212.17 × 7,100.78
  4. Step 4: Simplify right side
    11,497.46x = 122,219,832.49
  5. Step 5: Solve for x
    x = 122,219,832.49/11,497.46
  6. Step 6: Final answer
    x = 10,630.16

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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.