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Finding the Fourth Proportional to 6,057.64, 8,367.94 and 4,677.80

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Solution

The fourth proportional to 6,057.64, 8,367.94 and 4,677.80 is: 6,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.64 : 8,367.94 = 4,677.80 : x
  2. Step 2: Convert to fraction form
    6,057.64/8,367.94 = 4,677.80/x
  3. Step 3: Cross multiply
    6,057.64x = 8,367.94 × 4,677.80
  4. Step 4: Simplify right side
    6,057.64x = 39,143,549.73
  5. Step 5: Solve for x
    x = 39,143,549.73/6,057.64
  6. Step 6: Final answer
    x = 6,461.85

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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.