Home / 12,302-16,977.48-6,997.04

Finding the Fourth Proportional to 12,302, 16,977.48 and 6,997.04

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Solution

The fourth proportional to 12,302, 16,977.48 and 6,997.04 is: 9,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302 : 16,977.48 = 6,997.04 : x
  2. Step 2: Convert to fraction form
    12,302/16,977.48 = 6,997.04/x
  3. Step 3: Cross multiply
    12,302x = 16,977.48 × 6,997.04
  4. Step 4: Simplify right side
    12,302x = 118,792,106.66
  5. Step 5: Solve for x
    x = 118,792,106.66/12,302
  6. Step 6: Final answer
    x = 9,656.32

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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.