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Finding the Fourth Proportional to 11,748.86, 17,627.73 and 7,072.17

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Solution

The fourth proportional to 11,748.86, 17,627.73 and 7,072.17 is: 10,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.86 : 17,627.73 = 7,072.17 : x
  2. Step 2: Convert to fraction form
    11,748.86/17,627.73 = 7,072.17/x
  3. Step 3: Cross multiply
    11,748.86x = 17,627.73 × 7,072.17
  4. Step 4: Simplify right side
    11,748.86x = 124,666,260.23
  5. Step 5: Solve for x
    x = 124,666,260.23/11,748.86
  6. Step 6: Final answer
    x = 10,610.93

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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.