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Finding the Fourth Proportional to 7,285, 10,927.50 and 1,813

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Solution

The fourth proportional to 7,285, 10,927.50 and 1,813 is: 2,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285 : 10,927.50 = 1,813 : x
  2. Step 2: Convert to fraction form
    7,285/10,927.50 = 1,813/x
  3. Step 3: Cross multiply
    7,285x = 10,927.50 × 1,813
  4. Step 4: Simplify right side
    7,285x = 19,811,557.50
  5. Step 5: Solve for x
    x = 19,811,557.50/7,285
  6. Step 6: Final answer
    x = 2,719.50

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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.