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Finding the Fourth Proportional to 12,832.94, 17,709.02 and 7,167.64

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Solution

The fourth proportional to 12,832.94, 17,709.02 and 7,167.64 is: 9,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.94 : 17,709.02 = 7,167.64 : x
  2. Step 2: Convert to fraction form
    12,832.94/17,709.02 = 7,167.64/x
  3. Step 3: Cross multiply
    12,832.94x = 17,709.02 × 7,167.64
  4. Step 4: Simplify right side
    12,832.94x = 126,931,800.00
  5. Step 5: Solve for x
    x = 126,931,800.00/12,832.94
  6. Step 6: Final answer
    x = 9,891.10

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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.