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Finding the Fourth Proportional to 6,147.66, 8,483.79 and 3,494.46

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Solution

The fourth proportional to 6,147.66, 8,483.79 and 3,494.46 is: 4,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.66 : 8,483.79 = 3,494.46 : x
  2. Step 2: Convert to fraction form
    6,147.66/8,483.79 = 3,494.46/x
  3. Step 3: Cross multiply
    6,147.66x = 8,483.79 × 3,494.46
  4. Step 4: Simplify right side
    6,147.66x = 29,646,264.80
  5. Step 5: Solve for x
    x = 29,646,264.80/6,147.66
  6. Step 6: Final answer
    x = 4,822.37

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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.