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Finding the Fourth Proportional to 6,522, 9,779.76 and 2,625.36

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Solution

The fourth proportional to 6,522, 9,779.76 and 2,625.36 is: 3,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522 : 9,779.76 = 2,625.36 : x
  2. Step 2: Convert to fraction form
    6,522/9,779.76 = 2,625.36/x
  3. Step 3: Cross multiply
    6,522x = 9,779.76 × 2,625.36
  4. Step 4: Simplify right side
    6,522x = 25,675,390.71
  5. Step 5: Solve for x
    x = 25,675,390.71/6,522
  6. Step 6: Final answer
    x = 3,936.74

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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.