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Finding the Fourth Proportional to 6,362, 8,779.62 and 3,567.56

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Solution

The fourth proportional to 6,362, 8,779.62 and 3,567.56 is: 4,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362 : 8,779.62 = 3,567.56 : x
  2. Step 2: Convert to fraction form
    6,362/8,779.62 = 3,567.56/x
  3. Step 3: Cross multiply
    6,362x = 8,779.62 × 3,567.56
  4. Step 4: Simplify right side
    6,362x = 31,321,821.13
  5. Step 5: Solve for x
    x = 31,321,821.13/6,362
  6. Step 6: Final answer
    x = 4,923.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.