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Finding the Fourth Proportional to 6,900.48, 10,350.50 and 1,706.31

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Solution

The fourth proportional to 6,900.48, 10,350.50 and 1,706.31 is: 2,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.48 : 10,350.50 = 1,706.31 : x
  2. Step 2: Convert to fraction form
    6,900.48/10,350.50 = 1,706.31/x
  3. Step 3: Cross multiply
    6,900.48x = 10,350.50 × 1,706.31
  4. Step 4: Simplify right side
    6,900.48x = 17,661,153.12
  5. Step 5: Solve for x
    x = 17,661,153.12/6,900.48
  6. Step 6: Final answer
    x = 2,559.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.