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Finding the Fourth Proportional to 6,730, 9,288.68 and 3,786

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Solution

The fourth proportional to 6,730, 9,288.68 and 3,786 is: 5,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730 : 9,288.68 = 3,786 : x
  2. Step 2: Convert to fraction form
    6,730/9,288.68 = 3,786/x
  3. Step 3: Cross multiply
    6,730x = 9,288.68 × 3,786
  4. Step 4: Simplify right side
    6,730x = 35,166,942.48
  5. Step 5: Solve for x
    x = 35,166,942.48/6,730
  6. Step 6: Final answer
    x = 5,225.40

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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.