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Finding the Fourth Proportional to 6,458.42, 9,685.56 and 2,074.82

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Solution

The fourth proportional to 6,458.42, 9,685.56 and 2,074.82 is: 3,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.42 : 9,685.56 = 2,074.82 : x
  2. Step 2: Convert to fraction form
    6,458.42/9,685.56 = 2,074.82/x
  3. Step 3: Cross multiply
    6,458.42x = 9,685.56 × 2,074.82
  4. Step 4: Simplify right side
    6,458.42x = 20,095,793.60
  5. Step 5: Solve for x
    x = 20,095,793.60/6,458.42
  6. Step 6: Final answer
    x = 3,111.56

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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.