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Finding the Fourth Proportional to 6,752.51, 10,127.81 and 1,822.44

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Solution

The fourth proportional to 6,752.51, 10,127.81 and 1,822.44 is: 2,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.51 : 10,127.81 = 1,822.44 : x
  2. Step 2: Convert to fraction form
    6,752.51/10,127.81 = 1,822.44/x
  3. Step 3: Cross multiply
    6,752.51x = 10,127.81 × 1,822.44
  4. Step 4: Simplify right side
    6,752.51x = 18,457,316.94
  5. Step 5: Solve for x
    x = 18,457,316.94/6,752.51
  6. Step 6: Final answer
    x = 2,733.40

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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.