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Finding the Fourth Proportional to 11,022.56, 15,203.44 and 6,828.32

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Solution

The fourth proportional to 11,022.56, 15,203.44 and 6,828.32 is: 9,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.56 : 15,203.44 = 6,828.32 : x
  2. Step 2: Convert to fraction form
    11,022.56/15,203.44 = 6,828.32/x
  3. Step 3: Cross multiply
    11,022.56x = 15,203.44 × 6,828.32
  4. Step 4: Simplify right side
    11,022.56x = 103,813,953.42
  5. Step 5: Solve for x
    x = 103,813,953.42/11,022.56
  6. Step 6: Final answer
    x = 9,418.32

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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.