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Finding the Fourth Proportional to 12,770.04, 17,624.26 and 7,181

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Solution

The fourth proportional to 12,770.04, 17,624.26 and 7,181 is: 9,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.04 : 17,624.26 = 7,181 : x
  2. Step 2: Convert to fraction form
    12,770.04/17,624.26 = 7,181/x
  3. Step 3: Cross multiply
    12,770.04x = 17,624.26 × 7,181
  4. Step 4: Simplify right side
    12,770.04x = 126,559,811.06
  5. Step 5: Solve for x
    x = 126,559,811.06/12,770.04
  6. Step 6: Final answer
    x = 9,910.68

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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.