Home / 6,483-9,719.64-2,097.84

Finding the Fourth Proportional to 6,483, 9,719.64 and 2,097.84

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Solution

The fourth proportional to 6,483, 9,719.64 and 2,097.84 is: 3,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 9,719.64 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    6,483/9,719.64 = 2,097.84/x
  3. Step 3: Cross multiply
    6,483x = 9,719.64 × 2,097.84
  4. Step 4: Simplify right side
    6,483x = 20,390,249.58
  5. Step 5: Solve for x
    x = 20,390,249.58/6,483
  6. Step 6: Final answer
    x = 3,145.19

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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.