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Finding the Fourth Proportional to 10,784.84, 16,175.87 and 8,015.54

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Solution

The fourth proportional to 10,784.84, 16,175.87 and 8,015.54 is: 12,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.84 : 16,175.87 = 8,015.54 : x
  2. Step 2: Convert to fraction form
    10,784.84/16,175.87 = 8,015.54/x
  3. Step 3: Cross multiply
    10,784.84x = 16,175.87 × 8,015.54
  4. Step 4: Simplify right side
    10,784.84x = 129,658,333.38
  5. Step 5: Solve for x
    x = 129,658,333.38/10,784.84
  6. Step 6: Final answer
    x = 12,022.28

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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.