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Finding the Fourth Proportional to 11,770.02, 16,243.07 and 7,053.39

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Solution

The fourth proportional to 11,770.02, 16,243.07 and 7,053.39 is: 9,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.02 : 16,243.07 = 7,053.39 : x
  2. Step 2: Convert to fraction form
    11,770.02/16,243.07 = 7,053.39/x
  3. Step 3: Cross multiply
    11,770.02x = 16,243.07 × 7,053.39
  4. Step 4: Simplify right side
    11,770.02x = 114,568,672.24
  5. Step 5: Solve for x
    x = 114,568,672.24/11,770.02
  6. Step 6: Final answer
    x = 9,733.94

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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.