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Finding the Fourth Proportional to 4,709.11, 7,063.70 and 1,199.12

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Solution

The fourth proportional to 4,709.11, 7,063.70 and 1,199.12 is: 1,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.11 : 7,063.70 = 1,199.12 : x
  2. Step 2: Convert to fraction form
    4,709.11/7,063.70 = 1,199.12/x
  3. Step 3: Cross multiply
    4,709.11x = 7,063.70 × 1,199.12
  4. Step 4: Simplify right side
    4,709.11x = 8,470,223.94
  5. Step 5: Solve for x
    x = 8,470,223.94/4,709.11
  6. Step 6: Final answer
    x = 1,798.69

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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.