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Finding the Fourth Proportional to 11,583.81, 15,992.55 and 7,611.84

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Solution

The fourth proportional to 11,583.81, 15,992.55 and 7,611.84 is: 10,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.81 : 15,992.55 = 7,611.84 : x
  2. Step 2: Convert to fraction form
    11,583.81/15,992.55 = 7,611.84/x
  3. Step 3: Cross multiply
    11,583.81x = 15,992.55 × 7,611.84
  4. Step 4: Simplify right side
    11,583.81x = 121,732,731.79
  5. Step 5: Solve for x
    x = 121,732,731.79/11,583.81
  6. Step 6: Final answer
    x = 10,508.87

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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.