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Finding the Fourth Proportional to 11,288.44, 15,573 and 6,809.32

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Solution

The fourth proportional to 11,288.44, 15,573 and 6,809.32 is: 9,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.44 : 15,573 = 6,809.32 : x
  2. Step 2: Convert to fraction form
    11,288.44/15,573 = 6,809.32/x
  3. Step 3: Cross multiply
    11,288.44x = 15,573 × 6,809.32
  4. Step 4: Simplify right side
    11,288.44x = 106,041,540.36
  5. Step 5: Solve for x
    x = 106,041,540.36/11,288.44
  6. Step 6: Final answer
    x = 9,393.82

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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.