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Finding the Fourth Proportional to 6,807.84, 10,211.40 and 2,190.48

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Solution

The fourth proportional to 6,807.84, 10,211.40 and 2,190.48 is: 3,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.84 : 10,211.40 = 2,190.48 : x
  2. Step 2: Convert to fraction form
    6,807.84/10,211.40 = 2,190.48/x
  3. Step 3: Cross multiply
    6,807.84x = 10,211.40 × 2,190.48
  4. Step 4: Simplify right side
    6,807.84x = 22,367,867.47
  5. Step 5: Solve for x
    x = 22,367,867.47/6,807.84
  6. Step 6: Final answer
    x = 3,285.60

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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.