Home / 6,502-8,974.16-4,143.60

Finding the Fourth Proportional to 6,502, 8,974.16 and 4,143.60

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Solution

The fourth proportional to 6,502, 8,974.16 and 4,143.60 is: 5,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 8,974.16 = 4,143.60 : x
  2. Step 2: Convert to fraction form
    6,502/8,974.16 = 4,143.60/x
  3. Step 3: Cross multiply
    6,502x = 8,974.16 × 4,143.60
  4. Step 4: Simplify right side
    6,502x = 37,185,329.38
  5. Step 5: Solve for x
    x = 37,185,329.38/6,502
  6. Step 6: Final answer
    x = 5,719.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.