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Finding the Fourth Proportional to 6,508.25, 9,762.57 and 2,065.93

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Solution

The fourth proportional to 6,508.25, 9,762.57 and 2,065.93 is: 3,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.25 : 9,762.57 = 2,065.93 : x
  2. Step 2: Convert to fraction form
    6,508.25/9,762.57 = 2,065.93/x
  3. Step 3: Cross multiply
    6,508.25x = 9,762.57 × 2,065.93
  4. Step 4: Simplify right side
    6,508.25x = 20,168,783.48
  5. Step 5: Solve for x
    x = 20,168,783.48/6,508.25
  6. Step 6: Final answer
    x = 3,098.96

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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.