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Finding the Fourth Proportional to 6,730.06, 10,095 and 2,347.50

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Solution

The fourth proportional to 6,730.06, 10,095 and 2,347.50 is: 3,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.06 : 10,095 = 2,347.50 : x
  2. Step 2: Convert to fraction form
    6,730.06/10,095 = 2,347.50/x
  3. Step 3: Cross multiply
    6,730.06x = 10,095 × 2,347.50
  4. Step 4: Simplify right side
    6,730.06x = 23,698,012.50
  5. Step 5: Solve for x
    x = 23,698,012.50/6,730.06
  6. Step 6: Final answer
    x = 3,521.22

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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.