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Finding the Fourth Proportional to 10,798.84, 16,200.42 and 3,403.99

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Solution

The fourth proportional to 10,798.84, 16,200.42 and 3,403.99 is: 5,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.84 : 16,200.42 = 3,403.99 : x
  2. Step 2: Convert to fraction form
    10,798.84/16,200.42 = 3,403.99/x
  3. Step 3: Cross multiply
    10,798.84x = 16,200.42 × 3,403.99
  4. Step 4: Simplify right side
    10,798.84x = 55,146,067.68
  5. Step 5: Solve for x
    x = 55,146,067.68/10,798.84
  6. Step 6: Final answer
    x = 5,106.67

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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.