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Finding the Fourth Proportional to 11,760.59, 17,646.93 and 7,814.57

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Solution

The fourth proportional to 11,760.59, 17,646.93 and 7,814.57 is: 11,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.59 : 17,646.93 = 7,814.57 : x
  2. Step 2: Convert to fraction form
    11,760.59/17,646.93 = 7,814.57/x
  3. Step 3: Cross multiply
    11,760.59x = 17,646.93 × 7,814.57
  4. Step 4: Simplify right side
    11,760.59x = 137,903,081.54
  5. Step 5: Solve for x
    x = 137,903,081.54/11,760.59
  6. Step 6: Final answer
    x = 11,725.86

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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.