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Finding the Fourth Proportional to 12,749.17, 17,592.92 and 7,444.48

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Solution

The fourth proportional to 12,749.17, 17,592.92 and 7,444.48 is: 10,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.17 : 17,592.92 = 7,444.48 : x
  2. Step 2: Convert to fraction form
    12,749.17/17,592.92 = 7,444.48/x
  3. Step 3: Cross multiply
    12,749.17x = 17,592.92 × 7,444.48
  4. Step 4: Simplify right side
    12,749.17x = 130,970,141.08
  5. Step 5: Solve for x
    x = 130,970,141.08/12,749.17
  6. Step 6: Final answer
    x = 10,272.84

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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.