Home / 7,083-9,775.49-4,098.29

Finding the Fourth Proportional to 7,083, 9,775.49 and 4,098.29

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Solution

The fourth proportional to 7,083, 9,775.49 and 4,098.29 is: 5,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 9,775.49 = 4,098.29 : x
  2. Step 2: Convert to fraction form
    7,083/9,775.49 = 4,098.29/x
  3. Step 3: Cross multiply
    7,083x = 9,775.49 × 4,098.29
  4. Step 4: Simplify right side
    7,083x = 40,062,723.54
  5. Step 5: Solve for x
    x = 40,062,723.54/7,083
  6. Step 6: Final answer
    x = 5,656.18

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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.