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Finding the Fourth Proportional to 9,174.64, 13,768.08 and 7,940.20

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Solution

The fourth proportional to 9,174.64, 13,768.08 and 7,940.20 is: 11,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.64 : 13,768.08 = 7,940.20 : x
  2. Step 2: Convert to fraction form
    9,174.64/13,768.08 = 7,940.20/x
  3. Step 3: Cross multiply
    9,174.64x = 13,768.08 × 7,940.20
  4. Step 4: Simplify right side
    9,174.64x = 109,321,308.82
  5. Step 5: Solve for x
    x = 109,321,308.82/9,174.64
  6. Step 6: Final answer
    x = 11,915.60

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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.