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Finding the Fourth Proportional to 10,729.26, 14,804.78 and 6,012.63

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Solution

The fourth proportional to 10,729.26, 14,804.78 and 6,012.63 is: 8,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.26 : 14,804.78 = 6,012.63 : x
  2. Step 2: Convert to fraction form
    10,729.26/14,804.78 = 6,012.63/x
  3. Step 3: Cross multiply
    10,729.26x = 14,804.78 × 6,012.63
  4. Step 4: Simplify right side
    10,729.26x = 89,015,634.31
  5. Step 5: Solve for x
    x = 89,015,634.31/10,729.26
  6. Step 6: Final answer
    x = 8,296.53

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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.