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Finding the Fourth Proportional to 12,573.76, 17,347.08 and 7,791.52

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Solution

The fourth proportional to 12,573.76, 17,347.08 and 7,791.52 is: 10,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.76 : 17,347.08 = 7,791.52 : x
  2. Step 2: Convert to fraction form
    12,573.76/17,347.08 = 7,791.52/x
  3. Step 3: Cross multiply
    12,573.76x = 17,347.08 × 7,791.52
  4. Step 4: Simplify right side
    12,573.76x = 135,160,120.76
  5. Step 5: Solve for x
    x = 135,160,120.76/12,573.76
  6. Step 6: Final answer
    x = 10,749.38

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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.