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Finding the Fourth Proportional to 12,522, 17,280.36 and 6,933

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Solution

The fourth proportional to 12,522, 17,280.36 and 6,933 is: 9,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522 : 17,280.36 = 6,933 : x
  2. Step 2: Convert to fraction form
    12,522/17,280.36 = 6,933/x
  3. Step 3: Cross multiply
    12,522x = 17,280.36 × 6,933
  4. Step 4: Simplify right side
    12,522x = 119,804,735.88
  5. Step 5: Solve for x
    x = 119,804,735.88/12,522
  6. Step 6: Final answer
    x = 9,567.54

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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.