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Finding the Fourth Proportional to 17,917, 26,875.50 and 6,973

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Solution

The fourth proportional to 17,917, 26,875.50 and 6,973 is: 10,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917 : 26,875.50 = 6,973 : x
  2. Step 2: Convert to fraction form
    17,917/26,875.50 = 6,973/x
  3. Step 3: Cross multiply
    17,917x = 26,875.50 × 6,973
  4. Step 4: Simplify right side
    17,917x = 187,402,861.50
  5. Step 5: Solve for x
    x = 187,402,861.50/17,917
  6. Step 6: Final answer
    x = 10,459.50

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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.