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Finding the Fourth Proportional to 6,147.82, 8,483.70 and 3,494.94

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Solution

The fourth proportional to 6,147.82, 8,483.70 and 3,494.94 is: 4,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.82 : 8,483.70 = 3,494.94 : x
  2. Step 2: Convert to fraction form
    6,147.82/8,483.70 = 3,494.94/x
  3. Step 3: Cross multiply
    6,147.82x = 8,483.70 × 3,494.94
  4. Step 4: Simplify right side
    6,147.82x = 29,649,980.06
  5. Step 5: Solve for x
    x = 29,649,980.06/6,147.82
  6. Step 6: Final answer
    x = 4,822.84

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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.