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Finding the Fourth Proportional to 6,433.44, 9,598.17 and 5,498.16

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Solution

The fourth proportional to 6,433.44, 9,598.17 and 5,498.16 is: 8,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.44 : 9,598.17 = 5,498.16 : x
  2. Step 2: Convert to fraction form
    6,433.44/9,598.17 = 5,498.16/x
  3. Step 3: Cross multiply
    6,433.44x = 9,598.17 × 5,498.16
  4. Step 4: Simplify right side
    6,433.44x = 52,772,274.37
  5. Step 5: Solve for x
    x = 52,772,274.37/6,433.44
  6. Step 6: Final answer
    x = 8,202.81

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.