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Finding the Fourth Proportional to 27,170.84, 40,756.32 and 7,449.68

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Solution

The fourth proportional to 27,170.84, 40,756.32 and 7,449.68 is: 11,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.84 : 40,756.32 = 7,449.68 : x
  2. Step 2: Convert to fraction form
    27,170.84/40,756.32 = 7,449.68/x
  3. Step 3: Cross multiply
    27,170.84x = 40,756.32 × 7,449.68
  4. Step 4: Simplify right side
    27,170.84x = 303,621,541.98
  5. Step 5: Solve for x
    x = 303,621,541.98/27,170.84
  6. Step 6: Final answer
    x = 11,174.54

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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.