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Finding the Fourth Proportional to 9,791.60, 14,687.58 and 3,944.18

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Solution

The fourth proportional to 9,791.60, 14,687.58 and 3,944.18 is: 5,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.60 : 14,687.58 = 3,944.18 : x
  2. Step 2: Convert to fraction form
    9,791.60/14,687.58 = 3,944.18/x
  3. Step 3: Cross multiply
    9,791.60x = 14,687.58 × 3,944.18
  4. Step 4: Simplify right side
    9,791.60x = 57,930,459.28
  5. Step 5: Solve for x
    x = 57,930,459.28/9,791.60
  6. Step 6: Final answer
    x = 5,916.34

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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.