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Finding the Fourth Proportional to 12,427.44, 18,604.14 and 8,253

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Solution

The fourth proportional to 12,427.44, 18,604.14 and 8,253 is: 12,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.44 : 18,604.14 = 8,253 : x
  2. Step 2: Convert to fraction form
    12,427.44/18,604.14 = 8,253/x
  3. Step 3: Cross multiply
    12,427.44x = 18,604.14 × 8,253
  4. Step 4: Simplify right side
    12,427.44x = 153,539,967.42
  5. Step 5: Solve for x
    x = 153,539,967.42/12,427.44
  6. Step 6: Final answer
    x = 12,354.92

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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.