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Finding the Fourth Proportional to 6,405.88, 9,593.34 and 5,302.12

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Solution

The fourth proportional to 6,405.88, 9,593.34 and 5,302.12 is: 7,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.88 : 9,593.34 = 5,302.12 : x
  2. Step 2: Convert to fraction form
    6,405.88/9,593.34 = 5,302.12/x
  3. Step 3: Cross multiply
    6,405.88x = 9,593.34 × 5,302.12
  4. Step 4: Simplify right side
    6,405.88x = 50,865,039.88
  5. Step 5: Solve for x
    x = 50,865,039.88/6,405.88
  6. Step 6: Final answer
    x = 7,940.37

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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.