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Finding the Fourth Proportional to 12,146.22, 18,219.32 and 6,948.45

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Solution

The fourth proportional to 12,146.22, 18,219.32 and 6,948.45 is: 10,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.22 : 18,219.32 = 6,948.45 : x
  2. Step 2: Convert to fraction form
    12,146.22/18,219.32 = 6,948.45/x
  3. Step 3: Cross multiply
    12,146.22x = 18,219.32 × 6,948.45
  4. Step 4: Simplify right side
    12,146.22x = 126,595,983.10
  5. Step 5: Solve for x
    x = 126,595,983.10/12,146.22
  6. Step 6: Final answer
    x = 10,422.67

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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.