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Finding the Fourth Proportional to 9,673, 14,509.50 and 4,201

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Solution

The fourth proportional to 9,673, 14,509.50 and 4,201 is: 6,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673 : 14,509.50 = 4,201 : x
  2. Step 2: Convert to fraction form
    9,673/14,509.50 = 4,201/x
  3. Step 3: Cross multiply
    9,673x = 14,509.50 × 4,201
  4. Step 4: Simplify right side
    9,673x = 60,954,409.50
  5. Step 5: Solve for x
    x = 60,954,409.50/9,673
  6. Step 6: Final answer
    x = 6,301.50

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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.