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Finding the Fourth Proportional to 13,043.22, 17,999.64 and 7,454.22

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Solution

The fourth proportional to 13,043.22, 17,999.64 and 7,454.22 is: 10,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.22 : 17,999.64 = 7,454.22 : x
  2. Step 2: Convert to fraction form
    13,043.22/17,999.64 = 7,454.22/x
  3. Step 3: Cross multiply
    13,043.22x = 17,999.64 × 7,454.22
  4. Step 4: Simplify right side
    13,043.22x = 134,173,276.48
  5. Step 5: Solve for x
    x = 134,173,276.48/13,043.22
  6. Step 6: Final answer
    x = 10,286.82

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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.