Home / 10,485-15,724.14-3,463.38

Finding the Fourth Proportional to 10,485, 15,724.14 and 3,463.38

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Solution

The fourth proportional to 10,485, 15,724.14 and 3,463.38 is: 5,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485 : 15,724.14 = 3,463.38 : x
  2. Step 2: Convert to fraction form
    10,485/15,724.14 = 3,463.38/x
  3. Step 3: Cross multiply
    10,485x = 15,724.14 × 3,463.38
  4. Step 4: Simplify right side
    10,485x = 54,458,671.99
  5. Step 5: Solve for x
    x = 54,458,671.99/10,485
  6. Step 6: Final answer
    x = 5,193.96

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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.