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Finding the Fourth Proportional to 6,830.82, 10,225.26 and 4,981.50

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Solution

The fourth proportional to 6,830.82, 10,225.26 and 4,981.50 is: 7,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.82 : 10,225.26 = 4,981.50 : x
  2. Step 2: Convert to fraction form
    6,830.82/10,225.26 = 4,981.50/x
  3. Step 3: Cross multiply
    6,830.82x = 10,225.26 × 4,981.50
  4. Step 4: Simplify right side
    6,830.82x = 50,937,132.69
  5. Step 5: Solve for x
    x = 50,937,132.69/6,830.82
  6. Step 6: Final answer
    x = 7,456.96

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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.