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Finding the Fourth Proportional to 10,076.08, 13,904.04 and 9,333.04

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Solution

The fourth proportional to 10,076.08, 13,904.04 and 9,333.04 is: 12,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.08 : 13,904.04 = 9,333.04 : x
  2. Step 2: Convert to fraction form
    10,076.08/13,904.04 = 9,333.04/x
  3. Step 3: Cross multiply
    10,076.08x = 13,904.04 × 9,333.04
  4. Step 4: Simplify right side
    10,076.08x = 129,766,961.48
  5. Step 5: Solve for x
    x = 129,766,961.48/10,076.08
  6. Step 6: Final answer
    x = 12,878.71

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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.