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Finding the Fourth Proportional to 13,175.46, 19,763.46 and 4,856.22

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Solution

The fourth proportional to 13,175.46, 19,763.46 and 4,856.22 is: 7,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.46 : 19,763.46 = 4,856.22 : x
  2. Step 2: Convert to fraction form
    13,175.46/19,763.46 = 4,856.22/x
  3. Step 3: Cross multiply
    13,175.46x = 19,763.46 × 4,856.22
  4. Step 4: Simplify right side
    13,175.46x = 95,975,709.72
  5. Step 5: Solve for x
    x = 95,975,709.72/13,175.46
  6. Step 6: Final answer
    x = 7,284.43

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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.