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Finding the Fourth Proportional to 6,336.80, 8,739.44 and 4,762.16

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Solution

The fourth proportional to 6,336.80, 8,739.44 and 4,762.16 is: 6,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.80 : 8,739.44 = 4,762.16 : x
  2. Step 2: Convert to fraction form
    6,336.80/8,739.44 = 4,762.16/x
  3. Step 3: Cross multiply
    6,336.80x = 8,739.44 × 4,762.16
  4. Step 4: Simplify right side
    6,336.80x = 41,618,611.59
  5. Step 5: Solve for x
    x = 41,618,611.59/6,336.80
  6. Step 6: Final answer
    x = 6,567.76

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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.