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Finding the Fourth Proportional to 11,706.02, 16,157.16 and 9,814.60

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Solution

The fourth proportional to 11,706.02, 16,157.16 and 9,814.60 is: 13,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.02 : 16,157.16 = 9,814.60 : x
  2. Step 2: Convert to fraction form
    11,706.02/16,157.16 = 9,814.60/x
  3. Step 3: Cross multiply
    11,706.02x = 16,157.16 × 9,814.60
  4. Step 4: Simplify right side
    11,706.02x = 158,576,082.73
  5. Step 5: Solve for x
    x = 158,576,082.73/11,706.02
  6. Step 6: Final answer
    x = 13,546.54

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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.