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Finding the Fourth Proportional to 6,811.49, 10,203.06 and 6,576.50

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Solution

The fourth proportional to 6,811.49, 10,203.06 and 6,576.50 is: 9,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.49 : 10,203.06 = 6,576.50 : x
  2. Step 2: Convert to fraction form
    6,811.49/10,203.06 = 6,576.50/x
  3. Step 3: Cross multiply
    6,811.49x = 10,203.06 × 6,576.50
  4. Step 4: Simplify right side
    6,811.49x = 67,100,424.09
  5. Step 5: Solve for x
    x = 67,100,424.09/6,811.49
  6. Step 6: Final answer
    x = 9,851.06

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1.5x scale

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.