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Finding the Fourth Proportional to 6,905.94, 9,530.16 and 3,762.12

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Solution

The fourth proportional to 6,905.94, 9,530.16 and 3,762.12 is: 5,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.94 : 9,530.16 = 3,762.12 : x
  2. Step 2: Convert to fraction form
    6,905.94/9,530.16 = 3,762.12/x
  3. Step 3: Cross multiply
    6,905.94x = 9,530.16 × 3,762.12
  4. Step 4: Simplify right side
    6,905.94x = 35,853,605.54
  5. Step 5: Solve for x
    x = 35,853,605.54/6,905.94
  6. Step 6: Final answer
    x = 5,191.71

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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.