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Finding the Fourth Proportional to 10,973, 16,459.50 and 2,765

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Solution

The fourth proportional to 10,973, 16,459.50 and 2,765 is: 4,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973 : 16,459.50 = 2,765 : x
  2. Step 2: Convert to fraction form
    10,973/16,459.50 = 2,765/x
  3. Step 3: Cross multiply
    10,973x = 16,459.50 × 2,765
  4. Step 4: Simplify right side
    10,973x = 45,510,517.50
  5. Step 5: Solve for x
    x = 45,510,517.50/10,973
  6. Step 6: Final answer
    x = 4,147.50

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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.