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Finding the Fourth Proportional to 6,730.25, 10,095.27 and 2,347.69

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Solution

The fourth proportional to 6,730.25, 10,095.27 and 2,347.69 is: 3,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.25 : 10,095.27 = 2,347.69 : x
  2. Step 2: Convert to fraction form
    6,730.25/10,095.27 = 2,347.69/x
  3. Step 3: Cross multiply
    6,730.25x = 10,095.27 × 2,347.69
  4. Step 4: Simplify right side
    6,730.25x = 23,700,564.43
  5. Step 5: Solve for x
    x = 23,700,564.43/6,730.25
  6. Step 6: Final answer
    x = 3,521.50

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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.