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Finding the Fourth Proportional to 12,760.96, 17,611.72 and 8,045.20

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Solution

The fourth proportional to 12,760.96, 17,611.72 and 8,045.20 is: 11,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.96 : 17,611.72 = 8,045.20 : x
  2. Step 2: Convert to fraction form
    12,760.96/17,611.72 = 8,045.20/x
  3. Step 3: Cross multiply
    12,760.96x = 17,611.72 × 8,045.20
  4. Step 4: Simplify right side
    12,760.96x = 141,689,809.74
  5. Step 5: Solve for x
    x = 141,689,809.74/12,760.96
  6. Step 6: Final answer
    x = 11,103.38

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Half 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.