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Finding the Fourth Proportional to 13,042.91, 17,999.97 and 7,378.16

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Solution

The fourth proportional to 13,042.91, 17,999.97 and 7,378.16 is: 10,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.91 : 17,999.97 = 7,378.16 : x
  2. Step 2: Convert to fraction form
    13,042.91/17,999.97 = 7,378.16/x
  3. Step 3: Cross multiply
    13,042.91x = 17,999.97 × 7,378.16
  4. Step 4: Simplify right side
    13,042.91x = 132,806,568.66
  5. Step 5: Solve for x
    x = 132,806,568.66/13,042.91
  6. Step 6: Final answer
    x = 10,182.28

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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.