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Finding the Fourth Proportional to 11,641.32, 16,063.81 and 6,796.22

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Solution

The fourth proportional to 11,641.32, 16,063.81 and 6,796.22 is: 9,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.32 : 16,063.81 = 6,796.22 : x
  2. Step 2: Convert to fraction form
    11,641.32/16,063.81 = 6,796.22/x
  3. Step 3: Cross multiply
    11,641.32x = 16,063.81 × 6,796.22
  4. Step 4: Simplify right side
    11,641.32x = 109,173,089.49
  5. Step 5: Solve for x
    x = 109,173,089.49/11,641.32
  6. Step 6: Final answer
    x = 9,378.07

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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.