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Finding the Fourth Proportional to 8,548.22, 12,822.33 and 6,827.78

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Solution

The fourth proportional to 8,548.22, 12,822.33 and 6,827.78 is: 10,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.22 : 12,822.33 = 6,827.78 : x
  2. Step 2: Convert to fraction form
    8,548.22/12,822.33 = 6,827.78/x
  3. Step 3: Cross multiply
    8,548.22x = 12,822.33 × 6,827.78
  4. Step 4: Simplify right side
    8,548.22x = 87,547,984.22
  5. Step 5: Solve for x
    x = 87,547,984.22/8,548.22
  6. Step 6: Final answer
    x = 10,241.67

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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.