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Finding the Fourth Proportional to 6,973, 10,459.50 and 2,869

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Solution

The fourth proportional to 6,973, 10,459.50 and 2,869 is: 4,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973 : 10,459.50 = 2,869 : x
  2. Step 2: Convert to fraction form
    6,973/10,459.50 = 2,869/x
  3. Step 3: Cross multiply
    6,973x = 10,459.50 × 2,869
  4. Step 4: Simplify right side
    6,973x = 30,008,305.50
  5. Step 5: Solve for x
    x = 30,008,305.50/6,973
  6. Step 6: Final answer
    x = 4,303.50

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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.