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Finding the Fourth Proportional to 4,270.32, 6,405.48 and 3,894.48

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Solution

The fourth proportional to 4,270.32, 6,405.48 and 3,894.48 is: 5,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.32 : 6,405.48 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    4,270.32/6,405.48 = 3,894.48/x
  3. Step 3: Cross multiply
    4,270.32x = 6,405.48 × 3,894.48
  4. Step 4: Simplify right side
    4,270.32x = 24,946,013.75
  5. Step 5: Solve for x
    x = 24,946,013.75/4,270.32
  6. Step 6: Final answer
    x = 5,841.72

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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.