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Finding the Fourth Proportional to 6,810.45, 10,215.68 and 2,130.50

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Solution

The fourth proportional to 6,810.45, 10,215.68 and 2,130.50 is: 3,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.45 : 10,215.68 = 2,130.50 : x
  2. Step 2: Convert to fraction form
    6,810.45/10,215.68 = 2,130.50/x
  3. Step 3: Cross multiply
    6,810.45x = 10,215.68 × 2,130.50
  4. Step 4: Simplify right side
    6,810.45x = 21,764,536.11
  5. Step 5: Solve for x
    x = 21,764,536.11/6,810.45
  6. Step 6: Final answer
    x = 3,195.75

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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.