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Finding the Fourth Proportional to 6,192.99, 8,543.75 and 4,200.39

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Solution

The fourth proportional to 6,192.99, 8,543.75 and 4,200.39 is: 5,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.99 : 8,543.75 = 4,200.39 : x
  2. Step 2: Convert to fraction form
    6,192.99/8,543.75 = 4,200.39/x
  3. Step 3: Cross multiply
    6,192.99x = 8,543.75 × 4,200.39
  4. Step 4: Simplify right side
    6,192.99x = 35,887,061.06
  5. Step 5: Solve for x
    x = 35,887,061.06/6,192.99
  6. Step 6: Final answer
    x = 5,794.79

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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.