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Finding the Fourth Proportional to 9,668.34, 14,516.17 and 4,991.58

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Solution

The fourth proportional to 9,668.34, 14,516.17 and 4,991.58 is: 7,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.34 : 14,516.17 = 4,991.58 : x
  2. Step 2: Convert to fraction form
    9,668.34/14,516.17 = 4,991.58/x
  3. Step 3: Cross multiply
    9,668.34x = 14,516.17 × 4,991.58
  4. Step 4: Simplify right side
    9,668.34x = 72,458,611.37
  5. Step 5: Solve for x
    x = 72,458,611.37/9,668.34
  6. Step 6: Final answer
    x = 7,494.42

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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.