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Finding the Fourth Proportional to 8,954.42, 13,443.84 and 6,174.23

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Solution

The fourth proportional to 8,954.42, 13,443.84 and 6,174.23 is: 9,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.42 : 13,443.84 = 6,174.23 : x
  2. Step 2: Convert to fraction form
    8,954.42/13,443.84 = 6,174.23/x
  3. Step 3: Cross multiply
    8,954.42x = 13,443.84 × 6,174.23
  4. Step 4: Simplify right side
    8,954.42x = 83,005,293.02
  5. Step 5: Solve for x
    x = 83,005,293.02/8,954.42
  6. Step 6: Final answer
    x = 9,269.76

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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.