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Finding the Fourth Proportional to 6,406.64, 8,841.12 and 3,753.48

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Solution

The fourth proportional to 6,406.64, 8,841.12 and 3,753.48 is: 5,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.64 : 8,841.12 = 3,753.48 : x
  2. Step 2: Convert to fraction form
    6,406.64/8,841.12 = 3,753.48/x
  3. Step 3: Cross multiply
    6,406.64x = 8,841.12 × 3,753.48
  4. Step 4: Simplify right side
    6,406.64x = 33,184,967.10
  5. Step 5: Solve for x
    x = 33,184,967.10/6,406.64
  6. Step 6: Final answer
    x = 5,179.78

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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.