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Finding the Fourth Proportional to 27,643.10, 41,464.65 and 6,866.60

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Solution

The fourth proportional to 27,643.10, 41,464.65 and 6,866.60 is: 10,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.10 : 41,464.65 = 6,866.60 : x
  2. Step 2: Convert to fraction form
    27,643.10/41,464.65 = 6,866.60/x
  3. Step 3: Cross multiply
    27,643.10x = 41,464.65 × 6,866.60
  4. Step 4: Simplify right side
    27,643.10x = 284,721,165.69
  5. Step 5: Solve for x
    x = 284,721,165.69/27,643.10
  6. Step 6: Final answer
    x = 10,299.90

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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.