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Finding the Fourth Proportional to 10,599.96, 14,634.54 and 8,205.60

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Solution

The fourth proportional to 10,599.96, 14,634.54 and 8,205.60 is: 11,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.96 : 14,634.54 = 8,205.60 : x
  2. Step 2: Convert to fraction form
    10,599.96/14,634.54 = 8,205.60/x
  3. Step 3: Cross multiply
    10,599.96x = 14,634.54 × 8,205.60
  4. Step 4: Simplify right side
    10,599.96x = 120,085,181.42
  5. Step 5: Solve for x
    x = 120,085,181.42/10,599.96
  6. Step 6: Final answer
    x = 11,328.83

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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.