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Finding the Fourth Proportional to 6,880.01, 10,321.63 and 2,497.50

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Solution

The fourth proportional to 6,880.01, 10,321.63 and 2,497.50 is: 3,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.01 : 10,321.63 = 2,497.50 : x
  2. Step 2: Convert to fraction form
    6,880.01/10,321.63 = 2,497.50/x
  3. Step 3: Cross multiply
    6,880.01x = 10,321.63 × 2,497.50
  4. Step 4: Simplify right side
    6,880.01x = 25,778,264.68
  5. Step 5: Solve for x
    x = 25,778,264.68/6,880.01
  6. Step 6: Final answer
    x = 3,746.84

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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.