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Finding the Fourth Proportional to 8,173, 12,259.50 and 2,017

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Solution

The fourth proportional to 8,173, 12,259.50 and 2,017 is: 3,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173 : 12,259.50 = 2,017 : x
  2. Step 2: Convert to fraction form
    8,173/12,259.50 = 2,017/x
  3. Step 3: Cross multiply
    8,173x = 12,259.50 × 2,017
  4. Step 4: Simplify right side
    8,173x = 24,727,411.50
  5. Step 5: Solve for x
    x = 24,727,411.50/8,173
  6. Step 6: Final answer
    x = 3,025.50

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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.