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Finding the Fourth Proportional to 11,241.44, 15,509.94 and 7,264.88

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Solution

The fourth proportional to 11,241.44, 15,509.94 and 7,264.88 is: 10,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.44 : 15,509.94 = 7,264.88 : x
  2. Step 2: Convert to fraction form
    11,241.44/15,509.94 = 7,264.88/x
  3. Step 3: Cross multiply
    11,241.44x = 15,509.94 × 7,264.88
  4. Step 4: Simplify right side
    11,241.44x = 112,677,852.91
  5. Step 5: Solve for x
    x = 112,677,852.91/11,241.44
  6. Step 6: Final answer
    x = 10,023.44

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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.