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Finding the Fourth Proportional to 9,869, 14,803.50 and 2,573

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Solution

The fourth proportional to 9,869, 14,803.50 and 2,573 is: 3,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869 : 14,803.50 = 2,573 : x
  2. Step 2: Convert to fraction form
    9,869/14,803.50 = 2,573/x
  3. Step 3: Cross multiply
    9,869x = 14,803.50 × 2,573
  4. Step 4: Simplify right side
    9,869x = 38,089,405.50
  5. Step 5: Solve for x
    x = 38,089,405.50/9,869
  6. Step 6: Final answer
    x = 3,859.50

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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.