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Finding the Fourth Proportional to 9,964.81, 13,758.05 and 6,193.60

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Solution

The fourth proportional to 9,964.81, 13,758.05 and 6,193.60 is: 8,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.81 : 13,758.05 = 6,193.60 : x
  2. Step 2: Convert to fraction form
    9,964.81/13,758.05 = 6,193.60/x
  3. Step 3: Cross multiply
    9,964.81x = 13,758.05 × 6,193.60
  4. Step 4: Simplify right side
    9,964.81x = 85,211,858.48
  5. Step 5: Solve for x
    x = 85,211,858.48/9,964.81
  6. Step 6: Final answer
    x = 8,551.28

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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.