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Finding the Fourth Proportional to 27,676.56, 41,515 and 6,900.08

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Solution

The fourth proportional to 27,676.56, 41,515 and 6,900.08 is: 10,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.56 : 41,515 = 6,900.08 : x
  2. Step 2: Convert to fraction form
    27,676.56/41,515 = 6,900.08/x
  3. Step 3: Cross multiply
    27,676.56x = 41,515 × 6,900.08
  4. Step 4: Simplify right side
    27,676.56x = 286,456,821.20
  5. Step 5: Solve for x
    x = 286,456,821.20/27,676.56
  6. Step 6: Final answer
    x = 10,350.16

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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.