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Finding the Fourth Proportional to 13,637.40, 20,412.90 and 9,749.40

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Solution

The fourth proportional to 13,637.40, 20,412.90 and 9,749.40 is: 14,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.40 : 20,412.90 = 9,749.40 : x
  2. Step 2: Convert to fraction form
    13,637.40/20,412.90 = 9,749.40/x
  3. Step 3: Cross multiply
    13,637.40x = 20,412.90 × 9,749.40
  4. Step 4: Simplify right side
    13,637.40x = 199,013,527.26
  5. Step 5: Solve for x
    x = 199,013,527.26/13,637.40
  6. Step 6: Final answer
    x = 14,593.22

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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.