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Finding the Fourth Proportional to 12,806.64, 17,668.80 and 7,429.68

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Solution

The fourth proportional to 12,806.64, 17,668.80 and 7,429.68 is: 10,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.64 : 17,668.80 = 7,429.68 : x
  2. Step 2: Convert to fraction form
    12,806.64/17,668.80 = 7,429.68/x
  3. Step 3: Cross multiply
    12,806.64x = 17,668.80 × 7,429.68
  4. Step 4: Simplify right side
    12,806.64x = 131,273,529.98
  5. Step 5: Solve for x
    x = 131,273,529.98/12,806.64
  6. Step 6: Final answer
    x = 10,250.43

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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.