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Finding the Fourth Proportional to 13,690.32, 18,893.04 and 8,029.20

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Solution

The fourth proportional to 13,690.32, 18,893.04 and 8,029.20 is: 11,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.32 : 18,893.04 = 8,029.20 : x
  2. Step 2: Convert to fraction form
    13,690.32/18,893.04 = 8,029.20/x
  3. Step 3: Cross multiply
    13,690.32x = 18,893.04 × 8,029.20
  4. Step 4: Simplify right side
    13,690.32x = 151,695,996.77
  5. Step 5: Solve for x
    x = 151,695,996.77/13,690.32
  6. Step 6: Final answer
    x = 11,080.53

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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.