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Finding the Fourth Proportional to 7,765.79, 11,648.54 and 1,922.38

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Solution

The fourth proportional to 7,765.79, 11,648.54 and 1,922.38 is: 2,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.79 : 11,648.54 = 1,922.38 : x
  2. Step 2: Convert to fraction form
    7,765.79/11,648.54 = 1,922.38/x
  3. Step 3: Cross multiply
    7,765.79x = 11,648.54 × 1,922.38
  4. Step 4: Simplify right side
    7,765.79x = 22,392,896.01
  5. Step 5: Solve for x
    x = 22,392,896.01/7,765.79
  6. Step 6: Final answer
    x = 2,883.53

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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.