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Finding the Fourth Proportional to 4,004.99, 6,007.53 and 3,144.77

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Solution

The fourth proportional to 4,004.99, 6,007.53 and 3,144.77 is: 4,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.99 : 6,007.53 = 3,144.77 : x
  2. Step 2: Convert to fraction form
    4,004.99/6,007.53 = 3,144.77/x
  3. Step 3: Cross multiply
    4,004.99x = 6,007.53 × 3,144.77
  4. Step 4: Simplify right side
    4,004.99x = 18,892,300.12
  5. Step 5: Solve for x
    x = 18,892,300.12/4,004.99
  6. Step 6: Final answer
    x = 4,717.19

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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.