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Finding the Fourth Proportional to 6,205.82, 9,300.62 and 5,334.26

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Solution

The fourth proportional to 6,205.82, 9,300.62 and 5,334.26 is: 7,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.82 : 9,300.62 = 5,334.26 : x
  2. Step 2: Convert to fraction form
    6,205.82/9,300.62 = 5,334.26/x
  3. Step 3: Cross multiply
    6,205.82x = 9,300.62 × 5,334.26
  4. Step 4: Simplify right side
    6,205.82x = 49,611,925.24
  5. Step 5: Solve for x
    x = 49,611,925.24/6,205.82
  6. Step 6: Final answer
    x = 7,994.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.