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Finding the Fourth Proportional to 11,447.67, 15,792.89 and 7,195.77

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Solution

The fourth proportional to 11,447.67, 15,792.89 and 7,195.77 is: 9,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.67 : 15,792.89 = 7,195.77 : x
  2. Step 2: Convert to fraction form
    11,447.67/15,792.89 = 7,195.77/x
  3. Step 3: Cross multiply
    11,447.67x = 15,792.89 × 7,195.77
  4. Step 4: Simplify right side
    11,447.67x = 113,642,004.08
  5. Step 5: Solve for x
    x = 113,642,004.08/11,447.67
  6. Step 6: Final answer
    x = 9,927.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.