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Finding the Fourth Proportional to 6,298.56, 9,447.84 and 3,395.32

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Solution

The fourth proportional to 6,298.56, 9,447.84 and 3,395.32 is: 5,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.56 : 9,447.84 = 3,395.32 : x
  2. Step 2: Convert to fraction form
    6,298.56/9,447.84 = 3,395.32/x
  3. Step 3: Cross multiply
    6,298.56x = 9,447.84 × 3,395.32
  4. Step 4: Simplify right side
    6,298.56x = 32,078,416.49
  5. Step 5: Solve for x
    x = 32,078,416.49/6,298.56
  6. Step 6: Final answer
    x = 5,092.98

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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.