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Finding the Fourth Proportional to 12,634.15, 17,435.20 and 6,969.10

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Solution

The fourth proportional to 12,634.15, 17,435.20 and 6,969.10 is: 9,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.15 : 17,435.20 = 6,969.10 : x
  2. Step 2: Convert to fraction form
    12,634.15/17,435.20 = 6,969.10/x
  3. Step 3: Cross multiply
    12,634.15x = 17,435.20 × 6,969.10
  4. Step 4: Simplify right side
    12,634.15x = 121,507,652.32
  5. Step 5: Solve for x
    x = 121,507,652.32/12,634.15
  6. Step 6: Final answer
    x = 9,617.40

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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.