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Finding the Fourth Proportional to 13,000.63, 17,940.87 and 7,032.34

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Solution

The fourth proportional to 13,000.63, 17,940.87 and 7,032.34 is: 9,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.63 : 17,940.87 = 7,032.34 : x
  2. Step 2: Convert to fraction form
    13,000.63/17,940.87 = 7,032.34/x
  3. Step 3: Cross multiply
    13,000.63x = 17,940.87 × 7,032.34
  4. Step 4: Simplify right side
    13,000.63x = 126,166,262.57
  5. Step 5: Solve for x
    x = 126,166,262.57/13,000.63
  6. Step 6: Final answer
    x = 9,704.63

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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.