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Finding the Fourth Proportional to 12,414.63, 18,597.01 and 5,741.78

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Solution

The fourth proportional to 12,414.63, 18,597.01 and 5,741.78 is: 8,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.63 : 18,597.01 = 5,741.78 : x
  2. Step 2: Convert to fraction form
    12,414.63/18,597.01 = 5,741.78/x
  3. Step 3: Cross multiply
    12,414.63x = 18,597.01 × 5,741.78
  4. Step 4: Simplify right side
    12,414.63x = 106,779,940.08
  5. Step 5: Solve for x
    x = 106,779,940.08/12,414.63
  6. Step 6: Final answer
    x = 8,601.14

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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.