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Finding the Fourth Proportional to 4,912.38, 7,336.04 and 4,316.22

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Solution

The fourth proportional to 4,912.38, 7,336.04 and 4,316.22 is: 6,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.38 : 7,336.04 = 4,316.22 : x
  2. Step 2: Convert to fraction form
    4,912.38/7,336.04 = 4,316.22/x
  3. Step 3: Cross multiply
    4,912.38x = 7,336.04 × 4,316.22
  4. Step 4: Simplify right side
    4,912.38x = 31,663,940.99
  5. Step 5: Solve for x
    x = 31,663,940.99/4,912.38
  6. Step 6: Final answer
    x = 6,445.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.