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Finding the Fourth Proportional to 27,604.10, 41,406.15 and 6,827.60

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Solution

The fourth proportional to 27,604.10, 41,406.15 and 6,827.60 is: 10,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.10 : 41,406.15 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    27,604.10/41,406.15 = 6,827.60/x
  3. Step 3: Cross multiply
    27,604.10x = 41,406.15 × 6,827.60
  4. Step 4: Simplify right side
    27,604.10x = 282,704,629.74
  5. Step 5: Solve for x
    x = 282,704,629.74/27,604.10
  6. Step 6: Final answer
    x = 10,241.40

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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.