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Finding the Fourth Proportional to 12,732.42, 17,568.02 and 7,695.64

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Solution

The fourth proportional to 12,732.42, 17,568.02 and 7,695.64 is: 10,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.42 : 17,568.02 = 7,695.64 : x
  2. Step 2: Convert to fraction form
    12,732.42/17,568.02 = 7,695.64/x
  3. Step 3: Cross multiply
    12,732.42x = 17,568.02 × 7,695.64
  4. Step 4: Simplify right side
    12,732.42x = 135,197,157.43
  5. Step 5: Solve for x
    x = 135,197,157.43/12,732.42
  6. Step 6: Final answer
    x = 10,618.34

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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.