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Finding the Fourth Proportional to 6,900.32, 10,350.54 and 1,706.19

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Solution

The fourth proportional to 6,900.32, 10,350.54 and 1,706.19 is: 2,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.32 : 10,350.54 = 1,706.19 : x
  2. Step 2: Convert to fraction form
    6,900.32/10,350.54 = 1,706.19/x
  3. Step 3: Cross multiply
    6,900.32x = 10,350.54 × 1,706.19
  4. Step 4: Simplify right side
    6,900.32x = 17,659,987.84
  5. Step 5: Solve for x
    x = 17,659,987.84/6,900.32
  6. Step 6: Final answer
    x = 2,559.30

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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.