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Finding the Fourth Proportional to 14,494.32, 21,735.92 and 6,178.32

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Solution

The fourth proportional to 14,494.32, 21,735.92 and 6,178.32 is: 9,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.32 : 21,735.92 = 6,178.32 : x
  2. Step 2: Convert to fraction form
    14,494.32/21,735.92 = 6,178.32/x
  3. Step 3: Cross multiply
    14,494.32x = 21,735.92 × 6,178.32
  4. Step 4: Simplify right side
    14,494.32x = 134,291,469.25
  5. Step 5: Solve for x
    x = 134,291,469.25/14,494.32
  6. Step 6: Final answer
    x = 9,265.11

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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.