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Finding the Fourth Proportional to 6,906.42, 9,530.91 and 3,762.54

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Solution

The fourth proportional to 6,906.42, 9,530.91 and 3,762.54 is: 5,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.42 : 9,530.91 = 3,762.54 : x
  2. Step 2: Convert to fraction form
    6,906.42/9,530.91 = 3,762.54/x
  3. Step 3: Cross multiply
    6,906.42x = 9,530.91 × 3,762.54
  4. Step 4: Simplify right side
    6,906.42x = 35,860,430.11
  5. Step 5: Solve for x
    x = 35,860,430.11/6,906.42
  6. Step 6: Final answer
    x = 5,192.33

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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.