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Finding the Fourth Proportional to 8,369.75, 12,546.93 and 4,152.08

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Solution

The fourth proportional to 8,369.75, 12,546.93 and 4,152.08 is: 6,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.75 : 12,546.93 = 4,152.08 : x
  2. Step 2: Convert to fraction form
    8,369.75/12,546.93 = 4,152.08/x
  3. Step 3: Cross multiply
    8,369.75x = 12,546.93 × 4,152.08
  4. Step 4: Simplify right side
    8,369.75x = 52,095,904.05
  5. Step 5: Solve for x
    x = 52,095,904.05/8,369.75
  6. Step 6: Final answer
    x = 6,224.31

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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.