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Finding the Fourth Proportional to 6,730, 10,096.74 and 2,347.48

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Solution

The fourth proportional to 6,730, 10,096.74 and 2,347.48 is: 3,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730 : 10,096.74 = 2,347.48 : x
  2. Step 2: Convert to fraction form
    6,730/10,096.74 = 2,347.48/x
  3. Step 3: Cross multiply
    6,730x = 10,096.74 × 2,347.48
  4. Step 4: Simplify right side
    6,730x = 23,701,895.22
  5. Step 5: Solve for x
    x = 23,701,895.22/6,730
  6. Step 6: Final answer
    x = 3,521.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.