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Finding the Fourth Proportional to 26,948.41, 40,405.67 and 8,222.22

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Solution

The fourth proportional to 26,948.41, 40,405.67 and 8,222.22 is: 12,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,948.41 : 40,405.67 = 8,222.22 : x
  2. Step 2: Convert to fraction form
    26,948.41/40,405.67 = 8,222.22/x
  3. Step 3: Cross multiply
    26,948.41x = 40,405.67 × 8,222.22
  4. Step 4: Simplify right side
    26,948.41x = 332,224,191.12
  5. Step 5: Solve for x
    x = 332,224,191.12/26,948.41
  6. Step 6: Final answer
    x = 12,328.16

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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.