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Finding the Fourth Proportional to 9,259.67, 13,856.69 and 8,166.17

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Solution

The fourth proportional to 9,259.67, 13,856.69 and 8,166.17 is: 12,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.67 : 13,856.69 = 8,166.17 : x
  2. Step 2: Convert to fraction form
    9,259.67/13,856.69 = 8,166.17/x
  3. Step 3: Cross multiply
    9,259.67x = 13,856.69 × 8,166.17
  4. Step 4: Simplify right side
    9,259.67x = 113,155,976.06
  5. Step 5: Solve for x
    x = 113,155,976.06/9,259.67
  6. Step 6: Final answer
    x = 12,220.31

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1.5x scale

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.