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Finding the Fourth Proportional to 5,673.34, 7,824.84 and 5,035.97

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Solution

The fourth proportional to 5,673.34, 7,824.84 and 5,035.97 is: 6,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.34 : 7,824.84 = 5,035.97 : x
  2. Step 2: Convert to fraction form
    5,673.34/7,824.84 = 5,035.97/x
  3. Step 3: Cross multiply
    5,673.34x = 7,824.84 × 5,035.97
  4. Step 4: Simplify right side
    5,673.34x = 39,405,660.17
  5. Step 5: Solve for x
    x = 39,405,660.17/5,673.34
  6. Step 6: Final answer
    x = 6,945.76

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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.