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Finding the Fourth Proportional to 10,963.90, 16,409.40 and 7,683.40

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Solution

The fourth proportional to 10,963.90, 16,409.40 and 7,683.40 is: 11,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.90 : 16,409.40 = 7,683.40 : x
  2. Step 2: Convert to fraction form
    10,963.90/16,409.40 = 7,683.40/x
  3. Step 3: Cross multiply
    10,963.90x = 16,409.40 × 7,683.40
  4. Step 4: Simplify right side
    10,963.90x = 126,079,983.96
  5. Step 5: Solve for x
    x = 126,079,983.96/10,963.90
  6. Step 6: Final answer
    x = 11,499.56

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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.