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Finding the Fourth Proportional to 12,268.31, 16,927.31 and 7,232.77

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Solution

The fourth proportional to 12,268.31, 16,927.31 and 7,232.77 is: 9,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.31 : 16,927.31 = 7,232.77 : x
  2. Step 2: Convert to fraction form
    12,268.31/16,927.31 = 7,232.77/x
  3. Step 3: Cross multiply
    12,268.31x = 16,927.31 × 7,232.77
  4. Step 4: Simplify right side
    12,268.31x = 122,431,219.15
  5. Step 5: Solve for x
    x = 122,431,219.15/12,268.31
  6. Step 6: Final answer
    x = 9,979.47

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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.