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Finding the Fourth Proportional to 8,405.72, 12,611 and 6,860.32

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Solution

The fourth proportional to 8,405.72, 12,611 and 6,860.32 is: 10,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.72 : 12,611 = 6,860.32 : x
  2. Step 2: Convert to fraction form
    8,405.72/12,611 = 6,860.32/x
  3. Step 3: Cross multiply
    8,405.72x = 12,611 × 6,860.32
  4. Step 4: Simplify right side
    8,405.72x = 86,515,495.52
  5. Step 5: Solve for x
    x = 86,515,495.52/8,405.72
  6. Step 6: Final answer
    x = 10,292.46

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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.