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Finding the Fourth Proportional to 12,609.60, 17,401.68 and 7,232.96

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Solution

The fourth proportional to 12,609.60, 17,401.68 and 7,232.96 is: 9,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.60 : 17,401.68 = 7,232.96 : x
  2. Step 2: Convert to fraction form
    12,609.60/17,401.68 = 7,232.96/x
  3. Step 3: Cross multiply
    12,609.60x = 17,401.68 × 7,232.96
  4. Step 4: Simplify right side
    12,609.60x = 125,865,655.37
  5. Step 5: Solve for x
    x = 125,865,655.37/12,609.60
  6. Step 6: Final answer
    x = 9,981.73

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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.