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Finding the Fourth Proportional to 6,365.94, 8,782.98 and 3,712.98

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Solution

The fourth proportional to 6,365.94, 8,782.98 and 3,712.98 is: 5,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.94 : 8,782.98 = 3,712.98 : x
  2. Step 2: Convert to fraction form
    6,365.94/8,782.98 = 3,712.98/x
  3. Step 3: Cross multiply
    6,365.94x = 8,782.98 × 3,712.98
  4. Step 4: Simplify right side
    6,365.94x = 32,611,029.08
  5. Step 5: Solve for x
    x = 32,611,029.08/6,365.94
  6. Step 6: Final answer
    x = 5,122.74

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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.