Home / 11,197-16,784.16-4,626.82

Finding the Fourth Proportional to 11,197, 16,784.16 and 4,626.82

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Solution

The fourth proportional to 11,197, 16,784.16 and 4,626.82 is: 6,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197 : 16,784.16 = 4,626.82 : x
  2. Step 2: Convert to fraction form
    11,197/16,784.16 = 4,626.82/x
  3. Step 3: Cross multiply
    11,197x = 16,784.16 × 4,626.82
  4. Step 4: Simplify right side
    11,197x = 77,657,287.17
  5. Step 5: Solve for x
    x = 77,657,287.17/11,197
  6. Step 6: Final answer
    x = 6,935.54

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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.