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Finding the Fourth Proportional to 6,858.68, 9,461.70 and 4,467.80

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Solution

The fourth proportional to 6,858.68, 9,461.70 and 4,467.80 is: 6,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.68 : 9,461.70 = 4,467.80 : x
  2. Step 2: Convert to fraction form
    6,858.68/9,461.70 = 4,467.80/x
  3. Step 3: Cross multiply
    6,858.68x = 9,461.70 × 4,467.80
  4. Step 4: Simplify right side
    6,858.68x = 42,272,935.95
  5. Step 5: Solve for x
    x = 42,272,935.95/6,858.68
  6. Step 6: Final answer
    x = 6,163.43

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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.