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Finding the Fourth Proportional to 10,611.92, 15,893.64 and 5,069.16

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Solution

The fourth proportional to 10,611.92, 15,893.64 and 5,069.16 is: 7,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.92 : 15,893.64 = 5,069.16 : x
  2. Step 2: Convert to fraction form
    10,611.92/15,893.64 = 5,069.16/x
  3. Step 3: Cross multiply
    10,611.92x = 15,893.64 × 5,069.16
  4. Step 4: Simplify right side
    10,611.92x = 80,567,404.14
  5. Step 5: Solve for x
    x = 80,567,404.14/10,611.92
  6. Step 6: Final answer
    x = 7,592.16

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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.