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Finding the Fourth Proportional to 5,706.54, 8,550.09 and 4,611.42

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Solution

The fourth proportional to 5,706.54, 8,550.09 and 4,611.42 is: 6,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.54 : 8,550.09 = 4,611.42 : x
  2. Step 2: Convert to fraction form
    5,706.54/8,550.09 = 4,611.42/x
  3. Step 3: Cross multiply
    5,706.54x = 8,550.09 × 4,611.42
  4. Step 4: Simplify right side
    5,706.54x = 39,428,056.03
  5. Step 5: Solve for x
    x = 39,428,056.03/5,706.54
  6. Step 6: Final answer
    x = 6,909.28

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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.