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Finding the Fourth Proportional to 6,997, 10,495.53 and 1,802.86

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Solution

The fourth proportional to 6,997, 10,495.53 and 1,802.86 is: 2,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 10,495.53 = 1,802.86 : x
  2. Step 2: Convert to fraction form
    6,997/10,495.53 = 1,802.86/x
  3. Step 3: Cross multiply
    6,997x = 10,495.53 × 1,802.86
  4. Step 4: Simplify right side
    6,997x = 18,921,971.22
  5. Step 5: Solve for x
    x = 18,921,971.22/6,997
  6. Step 6: Final answer
    x = 2,704.30

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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.