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Finding the Fourth Proportional to 12,169.80, 16,804.26 and 7,700.76

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Solution

The fourth proportional to 12,169.80, 16,804.26 and 7,700.76 is: 10,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.80 : 16,804.26 = 7,700.76 : x
  2. Step 2: Convert to fraction form
    12,169.80/16,804.26 = 7,700.76/x
  3. Step 3: Cross multiply
    12,169.80x = 16,804.26 × 7,700.76
  4. Step 4: Simplify right side
    12,169.80x = 129,405,573.24
  5. Step 5: Solve for x
    x = 129,405,573.24/12,169.80
  6. Step 6: Final answer
    x = 10,633.34

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Half scale
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Double scale
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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.