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Finding the Fourth Proportional to 7,474.14, 11,212.16 and 3,094.67

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Solution

The fourth proportional to 7,474.14, 11,212.16 and 3,094.67 is: 4,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.14 : 11,212.16 = 3,094.67 : x
  2. Step 2: Convert to fraction form
    7,474.14/11,212.16 = 3,094.67/x
  3. Step 3: Cross multiply
    7,474.14x = 11,212.16 × 3,094.67
  4. Step 4: Simplify right side
    7,474.14x = 34,697,947.74
  5. Step 5: Solve for x
    x = 34,697,947.74/7,474.14
  6. Step 6: Final answer
    x = 4,642.40

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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.