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Finding the Fourth Proportional to 6,567.87, 9,852.41 and 2,618.18

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Solution

The fourth proportional to 6,567.87, 9,852.41 and 2,618.18 is: 3,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.87 : 9,852.41 = 2,618.18 : x
  2. Step 2: Convert to fraction form
    6,567.87/9,852.41 = 2,618.18/x
  3. Step 3: Cross multiply
    6,567.87x = 9,852.41 × 2,618.18
  4. Step 4: Simplify right side
    6,567.87x = 25,795,320.46
  5. Step 5: Solve for x
    x = 25,795,320.46/6,567.87
  6. Step 6: Final answer
    x = 3,927.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.