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Finding the Fourth Proportional to 4,709.99, 6,499.83 and 2,942.62

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Solution

The fourth proportional to 4,709.99, 6,499.83 and 2,942.62 is: 4,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.99 : 6,499.83 = 2,942.62 : x
  2. Step 2: Convert to fraction form
    4,709.99/6,499.83 = 2,942.62/x
  3. Step 3: Cross multiply
    4,709.99x = 6,499.83 × 2,942.62
  4. Step 4: Simplify right side
    4,709.99x = 19,126,529.75
  5. Step 5: Solve for x
    x = 19,126,529.75/4,709.99
  6. Step 6: Final answer
    x = 4,060.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.