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Finding the Fourth Proportional to 12,335, 17,022.30 and 6,746

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Solution

The fourth proportional to 12,335, 17,022.30 and 6,746 is: 9,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335 : 17,022.30 = 6,746 : x
  2. Step 2: Convert to fraction form
    12,335/17,022.30 = 6,746/x
  3. Step 3: Cross multiply
    12,335x = 17,022.30 × 6,746
  4. Step 4: Simplify right side
    12,335x = 114,832,435.80
  5. Step 5: Solve for x
    x = 114,832,435.80/12,335
  6. Step 6: Final answer
    x = 9,309.48

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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.