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Finding the Fourth Proportional to 6,784.41, 10,172.97 and 2,102.41

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Solution

The fourth proportional to 6,784.41, 10,172.97 and 2,102.41 is: 3,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.41 : 10,172.97 = 2,102.41 : x
  2. Step 2: Convert to fraction form
    6,784.41/10,172.97 = 2,102.41/x
  3. Step 3: Cross multiply
    6,784.41x = 10,172.97 × 2,102.41
  4. Step 4: Simplify right side
    6,784.41x = 21,387,753.86
  5. Step 5: Solve for x
    x = 21,387,753.86/6,784.41
  6. Step 6: Final answer
    x = 3,152.49

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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.