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Finding the Fourth Proportional to 6,323.36, 8,724.54 and 4,084.42

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Solution

The fourth proportional to 6,323.36, 8,724.54 and 4,084.42 is: 5,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.36 : 8,724.54 = 4,084.42 : x
  2. Step 2: Convert to fraction form
    6,323.36/8,724.54 = 4,084.42/x
  3. Step 3: Cross multiply
    6,323.36x = 8,724.54 × 4,084.42
  4. Step 4: Simplify right side
    6,323.36x = 35,634,685.67
  5. Step 5: Solve for x
    x = 35,634,685.67/6,323.36
  6. Step 6: Final answer
    x = 5,635.40

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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.