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Finding the Fourth Proportional to 10,026.68, 13,847.10 and 8,467.16

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Solution

The fourth proportional to 10,026.68, 13,847.10 and 8,467.16 is: 11,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.68 : 13,847.10 = 8,467.16 : x
  2. Step 2: Convert to fraction form
    10,026.68/13,847.10 = 8,467.16/x
  3. Step 3: Cross multiply
    10,026.68x = 13,847.10 × 8,467.16
  4. Step 4: Simplify right side
    10,026.68x = 117,245,611.24
  5. Step 5: Solve for x
    x = 117,245,611.24/10,026.68
  6. Step 6: Final answer
    x = 11,693.36

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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.