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Finding the Fourth Proportional to 11,243.71, 16,852.74 and 6,851.44

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Solution

The fourth proportional to 11,243.71, 16,852.74 and 6,851.44 is: 10,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.71 : 16,852.74 = 6,851.44 : x
  2. Step 2: Convert to fraction form
    11,243.71/16,852.74 = 6,851.44/x
  3. Step 3: Cross multiply
    11,243.71x = 16,852.74 × 6,851.44
  4. Step 4: Simplify right side
    11,243.71x = 115,465,536.95
  5. Step 5: Solve for x
    x = 115,465,536.95/11,243.71
  6. Step 6: Final answer
    x = 10,269.34

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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.