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Finding the Fourth Proportional to 4,468.65, 6,706.23 and 2,279.22

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Solution

The fourth proportional to 4,468.65, 6,706.23 and 2,279.22 is: 3,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.65 : 6,706.23 = 2,279.22 : x
  2. Step 2: Convert to fraction form
    4,468.65/6,706.23 = 2,279.22/x
  3. Step 3: Cross multiply
    4,468.65x = 6,706.23 × 2,279.22
  4. Step 4: Simplify right side
    4,468.65x = 15,284,973.54
  5. Step 5: Solve for x
    x = 15,284,973.54/4,468.65
  6. Step 6: Final answer
    x = 3,420.49

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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.