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Finding the Fourth Proportional to 6,302.88, 8,705.88 and 5,311.44

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Solution

The fourth proportional to 6,302.88, 8,705.88 and 5,311.44 is: 7,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.88 : 8,705.88 = 5,311.44 : x
  2. Step 2: Convert to fraction form
    6,302.88/8,705.88 = 5,311.44/x
  3. Step 3: Cross multiply
    6,302.88x = 8,705.88 × 5,311.44
  4. Step 4: Simplify right side
    6,302.88x = 46,240,759.27
  5. Step 5: Solve for x
    x = 46,240,759.27/6,302.88
  6. Step 6: Final answer
    x = 7,336.45

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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.