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Finding the Fourth Proportional to 12,292.96, 16,963.38 and 6,986.75

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Solution

The fourth proportional to 12,292.96, 16,963.38 and 6,986.75 is: 9,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.96 : 16,963.38 = 6,986.75 : x
  2. Step 2: Convert to fraction form
    12,292.96/16,963.38 = 6,986.75/x
  3. Step 3: Cross multiply
    12,292.96x = 16,963.38 × 6,986.75
  4. Step 4: Simplify right side
    12,292.96x = 118,518,895.22
  5. Step 5: Solve for x
    x = 118,518,895.22/12,292.96
  6. Step 6: Final answer
    x = 9,641.20

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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.