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Finding the Fourth Proportional to 13,765.40, 20,637.30 and 7,609.40

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Solution

The fourth proportional to 13,765.40, 20,637.30 and 7,609.40 is: 11,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.40 : 20,637.30 = 7,609.40 : x
  2. Step 2: Convert to fraction form
    13,765.40/20,637.30 = 7,609.40/x
  3. Step 3: Cross multiply
    13,765.40x = 20,637.30 × 7,609.40
  4. Step 4: Simplify right side
    13,765.40x = 157,037,470.62
  5. Step 5: Solve for x
    x = 157,037,470.62/13,765.40
  6. Step 6: Final answer
    x = 11,408.13

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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.