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Finding the Fourth Proportional to 6,810.97, 10,216.79 and 1,880.50

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Solution

The fourth proportional to 6,810.97, 10,216.79 and 1,880.50 is: 2,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.97 : 10,216.79 = 1,880.50 : x
  2. Step 2: Convert to fraction form
    6,810.97/10,216.79 = 1,880.50/x
  3. Step 3: Cross multiply
    6,810.97x = 10,216.79 × 1,880.50
  4. Step 4: Simplify right side
    6,810.97x = 19,212,673.60
  5. Step 5: Solve for x
    x = 19,212,673.60/6,810.97
  6. Step 6: Final answer
    x = 2,820.84

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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.