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Finding the Fourth Proportional to 4,614.99, 6,922.52 and 1,152.24

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Solution

The fourth proportional to 4,614.99, 6,922.52 and 1,152.24 is: 1,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.99 : 6,922.52 = 1,152.24 : x
  2. Step 2: Convert to fraction form
    4,614.99/6,922.52 = 1,152.24/x
  3. Step 3: Cross multiply
    4,614.99x = 6,922.52 × 1,152.24
  4. Step 4: Simplify right side
    4,614.99x = 7,976,398.68
  5. Step 5: Solve for x
    x = 7,976,398.68/4,614.99
  6. Step 6: Final answer
    x = 1,728.37

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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.