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Finding the Fourth Proportional to 4,199.92, 6,300.09 and 1,603.06

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Solution

The fourth proportional to 4,199.92, 6,300.09 and 1,603.06 is: 2,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.92 : 6,300.09 = 1,603.06 : x
  2. Step 2: Convert to fraction form
    4,199.92/6,300.09 = 1,603.06/x
  3. Step 3: Cross multiply
    4,199.92x = 6,300.09 × 1,603.06
  4. Step 4: Simplify right side
    4,199.92x = 10,099,422.28
  5. Step 5: Solve for x
    x = 10,099,422.28/4,199.92
  6. Step 6: Final answer
    x = 2,404.67

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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.