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Finding the Fourth Proportional to 6,477.60, 8,936.82 and 4,240.80

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Solution

The fourth proportional to 6,477.60, 8,936.82 and 4,240.80 is: 5,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.60 : 8,936.82 = 4,240.80 : x
  2. Step 2: Convert to fraction form
    6,477.60/8,936.82 = 4,240.80/x
  3. Step 3: Cross multiply
    6,477.60x = 8,936.82 × 4,240.80
  4. Step 4: Simplify right side
    6,477.60x = 37,899,266.26
  5. Step 5: Solve for x
    x = 37,899,266.26/6,477.60
  6. Step 6: Final answer
    x = 5,850.82

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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.