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Finding the Fourth Proportional to 10,469.92, 14,441.04 and 6,931.36

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Solution

The fourth proportional to 10,469.92, 14,441.04 and 6,931.36 is: 9,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.92 : 14,441.04 = 6,931.36 : x
  2. Step 2: Convert to fraction form
    10,469.92/14,441.04 = 6,931.36/x
  3. Step 3: Cross multiply
    10,469.92x = 14,441.04 × 6,931.36
  4. Step 4: Simplify right side
    10,469.92x = 100,096,047.01
  5. Step 5: Solve for x
    x = 100,096,047.01/10,469.92
  6. Step 6: Final answer
    x = 9,560.34

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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.