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Finding the Fourth Proportional to 6,851.50, 10,277.24 and 1,657.37

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Solution

The fourth proportional to 6,851.50, 10,277.24 and 1,657.37 is: 2,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.50 : 10,277.24 = 1,657.37 : x
  2. Step 2: Convert to fraction form
    6,851.50/10,277.24 = 1,657.37/x
  3. Step 3: Cross multiply
    6,851.50x = 10,277.24 × 1,657.37
  4. Step 4: Simplify right side
    6,851.50x = 17,033,189.26
  5. Step 5: Solve for x
    x = 17,033,189.26/6,851.50
  6. Step 6: Final answer
    x = 2,486.05

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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.