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Finding the Fourth Proportional to 7,676.81, 10,580.11 and 5,775.48

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Solution

The fourth proportional to 7,676.81, 10,580.11 and 5,775.48 is: 7,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.81 : 10,580.11 = 5,775.48 : x
  2. Step 2: Convert to fraction form
    7,676.81/10,580.11 = 5,775.48/x
  3. Step 3: Cross multiply
    7,676.81x = 10,580.11 × 5,775.48
  4. Step 4: Simplify right side
    7,676.81x = 61,105,213.70
  5. Step 5: Solve for x
    x = 61,105,213.70/7,676.81
  6. Step 6: Final answer
    x = 7,959.71

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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.