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Finding the Fourth Proportional to 10,798.64, 16,197.96 and 3,007.46

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Solution

The fourth proportional to 10,798.64, 16,197.96 and 3,007.46 is: 4,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.64 : 16,197.96 = 3,007.46 : x
  2. Step 2: Convert to fraction form
    10,798.64/16,197.96 = 3,007.46/x
  3. Step 3: Cross multiply
    10,798.64x = 16,197.96 × 3,007.46
  4. Step 4: Simplify right side
    10,798.64x = 48,714,716.78
  5. Step 5: Solve for x
    x = 48,714,716.78/10,798.64
  6. Step 6: Final answer
    x = 4,511.19

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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.