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Finding the Fourth Proportional to 12,330, 17,015.40 and 6,741

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Solution

The fourth proportional to 12,330, 17,015.40 and 6,741 is: 9,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330 : 17,015.40 = 6,741 : x
  2. Step 2: Convert to fraction form
    12,330/17,015.40 = 6,741/x
  3. Step 3: Cross multiply
    12,330x = 17,015.40 × 6,741
  4. Step 4: Simplify right side
    12,330x = 114,700,811.40
  5. Step 5: Solve for x
    x = 114,700,811.40/12,330
  6. Step 6: Final answer
    x = 9,302.58

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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.