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Finding the Fourth Proportional to 13,497.44, 18,619.65 and 9,027.14

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Solution

The fourth proportional to 13,497.44, 18,619.65 and 9,027.14 is: 12,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.44 : 18,619.65 = 9,027.14 : x
  2. Step 2: Convert to fraction form
    13,497.44/18,619.65 = 9,027.14/x
  3. Step 3: Cross multiply
    13,497.44x = 18,619.65 × 9,027.14
  4. Step 4: Simplify right side
    13,497.44x = 168,082,094.20
  5. Step 5: Solve for x
    x = 168,082,094.20/13,497.44
  6. Step 6: Final answer
    x = 12,452.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.