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Finding the Fourth Proportional to 4,051, 6,076.50 and 973

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Solution

The fourth proportional to 4,051, 6,076.50 and 973 is: 1,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051 : 6,076.50 = 973 : x
  2. Step 2: Convert to fraction form
    4,051/6,076.50 = 973/x
  3. Step 3: Cross multiply
    4,051x = 6,076.50 × 973
  4. Step 4: Simplify right side
    4,051x = 5,912,434.50
  5. Step 5: Solve for x
    x = 5,912,434.50/4,051
  6. Step 6: Final answer
    x = 1,459.50

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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.