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Finding the Fourth Proportional to 13,000.83, 17,941.14 and 7,032.49

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Solution

The fourth proportional to 13,000.83, 17,941.14 and 7,032.49 is: 9,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.83 : 17,941.14 = 7,032.49 : x
  2. Step 2: Convert to fraction form
    13,000.83/17,941.14 = 7,032.49/x
  3. Step 3: Cross multiply
    13,000.83x = 17,941.14 × 7,032.49
  4. Step 4: Simplify right side
    13,000.83x = 126,170,887.64
  5. Step 5: Solve for x
    x = 126,170,887.64/13,000.83
  6. Step 6: Final answer
    x = 9,704.83

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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.