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Finding the Fourth Proportional to 9,461.94, 14,202.39 and 3,918.54

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Solution

The fourth proportional to 9,461.94, 14,202.39 and 3,918.54 is: 5,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.94 : 14,202.39 = 3,918.54 : x
  2. Step 2: Convert to fraction form
    9,461.94/14,202.39 = 3,918.54/x
  3. Step 3: Cross multiply
    9,461.94x = 14,202.39 × 3,918.54
  4. Step 4: Simplify right side
    9,461.94x = 55,652,633.31
  5. Step 5: Solve for x
    x = 55,652,633.31/9,461.94
  6. Step 6: Final answer
    x = 5,881.74

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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.