Home / 6,417.09-9,617.76-3,646.08

Finding the Fourth Proportional to 6,417.09, 9,617.76 and 3,646.08

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Solution

The fourth proportional to 6,417.09, 9,617.76 and 3,646.08 is: 5,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.09 : 9,617.76 = 3,646.08 : x
  2. Step 2: Convert to fraction form
    6,417.09/9,617.76 = 3,646.08/x
  3. Step 3: Cross multiply
    6,417.09x = 9,617.76 × 3,646.08
  4. Step 4: Simplify right side
    6,417.09x = 35,067,122.38
  5. Step 5: Solve for x
    x = 35,067,122.38/6,417.09
  6. Step 6: Final answer
    x = 5,464.65

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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.