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Finding the Fourth Proportional to 9,609.81, 13,267.59 and 7,367.46

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Solution

The fourth proportional to 9,609.81, 13,267.59 and 7,367.46 is: 10,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.81 : 13,267.59 = 7,367.46 : x
  2. Step 2: Convert to fraction form
    9,609.81/13,267.59 = 7,367.46/x
  3. Step 3: Cross multiply
    9,609.81x = 13,267.59 × 7,367.46
  4. Step 4: Simplify right side
    9,609.81x = 97,748,438.62
  5. Step 5: Solve for x
    x = 97,748,438.62/9,609.81
  6. Step 6: Final answer
    x = 10,171.73

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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.