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Finding the Fourth Proportional to 6,518.82, 9,778.25 and 1,588.46

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Solution

The fourth proportional to 6,518.82, 9,778.25 and 1,588.46 is: 2,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.82 : 9,778.25 = 1,588.46 : x
  2. Step 2: Convert to fraction form
    6,518.82/9,778.25 = 1,588.46/x
  3. Step 3: Cross multiply
    6,518.82x = 9,778.25 × 1,588.46
  4. Step 4: Simplify right side
    6,518.82x = 15,532,314.07
  5. Step 5: Solve for x
    x = 15,532,314.07/6,518.82
  6. Step 6: Final answer
    x = 2,382.69

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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.