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Finding the Fourth Proportional to 6,274.54, 8,655.10 and 4,150.12

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Solution

The fourth proportional to 6,274.54, 8,655.10 and 4,150.12 is: 5,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.54 : 8,655.10 = 4,150.12 : x
  2. Step 2: Convert to fraction form
    6,274.54/8,655.10 = 4,150.12/x
  3. Step 3: Cross multiply
    6,274.54x = 8,655.10 × 4,150.12
  4. Step 4: Simplify right side
    6,274.54x = 35,919,703.61
  5. Step 5: Solve for x
    x = 35,919,703.61/6,274.54
  6. Step 6: Final answer
    x = 5,724.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.