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Finding the Fourth Proportional to 6,534.65, 9,785.55 and 5,074.82

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Solution

The fourth proportional to 6,534.65, 9,785.55 and 5,074.82 is: 7,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.65 : 9,785.55 = 5,074.82 : x
  2. Step 2: Convert to fraction form
    6,534.65/9,785.55 = 5,074.82/x
  3. Step 3: Cross multiply
    6,534.65x = 9,785.55 × 5,074.82
  4. Step 4: Simplify right side
    6,534.65x = 49,659,904.85
  5. Step 5: Solve for x
    x = 49,659,904.85/6,534.65
  6. Step 6: Final answer
    x = 7,599.47

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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.