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Finding the Fourth Proportional to 6,949.67, 10,427.48 and 4,610.50

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Solution

The fourth proportional to 6,949.67, 10,427.48 and 4,610.50 is: 6,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.67 : 10,427.48 = 4,610.50 : x
  2. Step 2: Convert to fraction form
    6,949.67/10,427.48 = 4,610.50/x
  3. Step 3: Cross multiply
    6,949.67x = 10,427.48 × 4,610.50
  4. Step 4: Simplify right side
    6,949.67x = 48,075,821.35
  5. Step 5: Solve for x
    x = 48,075,821.35/6,949.67
  6. Step 6: Final answer
    x = 6,917.71

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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.