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Finding the Fourth Proportional to 6,576, 9,868.86 and 3,113.25

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Solution

The fourth proportional to 6,576, 9,868.86 and 3,113.25 is: 4,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 9,868.86 = 3,113.25 : x
  2. Step 2: Convert to fraction form
    6,576/9,868.86 = 3,113.25/x
  3. Step 3: Cross multiply
    6,576x = 9,868.86 × 3,113.25
  4. Step 4: Simplify right side
    6,576x = 30,724,228.40
  5. Step 5: Solve for x
    x = 30,724,228.40/6,576
  6. Step 6: Final answer
    x = 4,672.18

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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.