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Finding the Fourth Proportional to 14,003.10, 20,976.24 and 6,496.11

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Solution

The fourth proportional to 14,003.10, 20,976.24 and 6,496.11 is: 9,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.10 : 20,976.24 = 6,496.11 : x
  2. Step 2: Convert to fraction form
    14,003.10/20,976.24 = 6,496.11/x
  3. Step 3: Cross multiply
    14,003.10x = 20,976.24 × 6,496.11
  4. Step 4: Simplify right side
    14,003.10x = 136,263,962.43
  5. Step 5: Solve for x
    x = 136,263,962.43/14,003.10
  6. Step 6: Final answer
    x = 9,730.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.