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Finding the Fourth Proportional to 10,693.60, 16,040.40 and 5,765.56

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Solution

The fourth proportional to 10,693.60, 16,040.40 and 5,765.56 is: 8,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.60 : 16,040.40 = 5,765.56 : x
  2. Step 2: Convert to fraction form
    10,693.60/16,040.40 = 5,765.56/x
  3. Step 3: Cross multiply
    10,693.60x = 16,040.40 × 5,765.56
  4. Step 4: Simplify right side
    10,693.60x = 92,481,888.62
  5. Step 5: Solve for x
    x = 92,481,888.62/10,693.60
  6. Step 6: Final answer
    x = 8,648.34

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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.