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Finding the Fourth Proportional to 11,303.97, 16,954.31 and 7,916.48

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Solution

The fourth proportional to 11,303.97, 16,954.31 and 7,916.48 is: 11,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.97 : 16,954.31 = 7,916.48 : x
  2. Step 2: Convert to fraction form
    11,303.97/16,954.31 = 7,916.48/x
  3. Step 3: Cross multiply
    11,303.97x = 16,954.31 × 7,916.48
  4. Step 4: Simplify right side
    11,303.97x = 134,218,331.67
  5. Step 5: Solve for x
    x = 134,218,331.67/11,303.97
  6. Step 6: Final answer
    x = 11,873.56

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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.