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Finding the Fourth Proportional to 11,467.68, 15,826.27 and 6,364.16

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Solution

The fourth proportional to 11,467.68, 15,826.27 and 6,364.16 is: 8,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.68 : 15,826.27 = 6,364.16 : x
  2. Step 2: Convert to fraction form
    11,467.68/15,826.27 = 6,364.16/x
  3. Step 3: Cross multiply
    11,467.68x = 15,826.27 × 6,364.16
  4. Step 4: Simplify right side
    11,467.68x = 100,720,882.66
  5. Step 5: Solve for x
    x = 100,720,882.66/11,467.68
  6. Step 6: Final answer
    x = 8,783.02

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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.