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Finding the Fourth Proportional to 9,601, 13,253.82 and 6,770.68

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Solution

The fourth proportional to 9,601, 13,253.82 and 6,770.68 is: 9,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601 : 13,253.82 = 6,770.68 : x
  2. Step 2: Convert to fraction form
    9,601/13,253.82 = 6,770.68/x
  3. Step 3: Cross multiply
    9,601x = 13,253.82 × 6,770.68
  4. Step 4: Simplify right side
    9,601x = 89,737,374.00
  5. Step 5: Solve for x
    x = 89,737,374.00/9,601
  6. Step 6: Final answer
    x = 9,346.67

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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.