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Finding the Fourth Proportional to 6,733.63, 10,101.02 and 2,053.22

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Solution

The fourth proportional to 6,733.63, 10,101.02 and 2,053.22 is: 3,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.63 : 10,101.02 = 2,053.22 : x
  2. Step 2: Convert to fraction form
    6,733.63/10,101.02 = 2,053.22/x
  3. Step 3: Cross multiply
    6,733.63x = 10,101.02 × 2,053.22
  4. Step 4: Simplify right side
    6,733.63x = 20,739,616.28
  5. Step 5: Solve for x
    x = 20,739,616.28/6,733.63
  6. Step 6: Final answer
    x = 3,080.01

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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.