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Finding the Fourth Proportional to 7,283, 10,924.50 and 1,811

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Solution

The fourth proportional to 7,283, 10,924.50 and 1,811 is: 2,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283 : 10,924.50 = 1,811 : x
  2. Step 2: Convert to fraction form
    7,283/10,924.50 = 1,811/x
  3. Step 3: Cross multiply
    7,283x = 10,924.50 × 1,811
  4. Step 4: Simplify right side
    7,283x = 19,784,269.50
  5. Step 5: Solve for x
    x = 19,784,269.50/7,283
  6. Step 6: Final answer
    x = 2,716.50

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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.