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Finding the Fourth Proportional to 7,291.54, 10,942.98 and 4,004.56

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Solution

The fourth proportional to 7,291.54, 10,942.98 and 4,004.56 is: 6,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.54 : 10,942.98 = 4,004.56 : x
  2. Step 2: Convert to fraction form
    7,291.54/10,942.98 = 4,004.56/x
  3. Step 3: Cross multiply
    7,291.54x = 10,942.98 × 4,004.56
  4. Step 4: Simplify right side
    7,291.54x = 43,821,819.99
  5. Step 5: Solve for x
    x = 43,821,819.99/7,291.54
  6. Step 6: Final answer
    x = 6,009.95

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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.