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Finding the Fourth Proportional to 17,310.96, 25,970.28 and 4,998

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Solution

The fourth proportional to 17,310.96, 25,970.28 and 4,998 is: 7,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.96 : 25,970.28 = 4,998 : x
  2. Step 2: Convert to fraction form
    17,310.96/25,970.28 = 4,998/x
  3. Step 3: Cross multiply
    17,310.96x = 25,970.28 × 4,998
  4. Step 4: Simplify right side
    17,310.96x = 129,799,459.44
  5. Step 5: Solve for x
    x = 129,799,459.44/17,310.96
  6. Step 6: Final answer
    x = 7,498.11

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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.