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Finding the Fourth Proportional to 11,652.28, 16,083.66 and 7,928.44

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Solution

The fourth proportional to 11,652.28, 16,083.66 and 7,928.44 is: 10,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.28 : 16,083.66 = 7,928.44 : x
  2. Step 2: Convert to fraction form
    11,652.28/16,083.66 = 7,928.44/x
  3. Step 3: Cross multiply
    11,652.28x = 16,083.66 × 7,928.44
  4. Step 4: Simplify right side
    11,652.28x = 127,518,333.29
  5. Step 5: Solve for x
    x = 127,518,333.29/11,652.28
  6. Step 6: Final answer
    x = 10,943.64

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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.