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Finding the Fourth Proportional to 13,000.94, 17,941.17 and 7,032.48

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Solution

The fourth proportional to 13,000.94, 17,941.17 and 7,032.48 is: 9,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.94 : 17,941.17 = 7,032.48 : x
  2. Step 2: Convert to fraction form
    13,000.94/17,941.17 = 7,032.48/x
  3. Step 3: Cross multiply
    13,000.94x = 17,941.17 × 7,032.48
  4. Step 4: Simplify right side
    13,000.94x = 126,170,919.20
  5. Step 5: Solve for x
    x = 126,170,919.20/13,000.94
  6. Step 6: Final answer
    x = 9,704.76

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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.