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Finding the Fourth Proportional to 4,984.38, 7,471.26 and 1,696.32

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Solution

The fourth proportional to 4,984.38, 7,471.26 and 1,696.32 is: 2,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.38 : 7,471.26 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    4,984.38/7,471.26 = 1,696.32/x
  3. Step 3: Cross multiply
    4,984.38x = 7,471.26 × 1,696.32
  4. Step 4: Simplify right side
    4,984.38x = 12,673,647.76
  5. Step 5: Solve for x
    x = 12,673,647.76/4,984.38
  6. Step 6: Final answer
    x = 2,542.67

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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.