Home / 9,467-14,200.78-2,541.50

Finding the Fourth Proportional to 9,467, 14,200.78 and 2,541.50

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Solution

The fourth proportional to 9,467, 14,200.78 and 2,541.50 is: 3,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 14,200.78 = 2,541.50 : x
  2. Step 2: Convert to fraction form
    9,467/14,200.78 = 2,541.50/x
  3. Step 3: Cross multiply
    9,467x = 14,200.78 × 2,541.50
  4. Step 4: Simplify right side
    9,467x = 36,091,282.37
  5. Step 5: Solve for x
    x = 36,091,282.37/9,467
  6. Step 6: Final answer
    x = 3,812.33

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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.