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Finding the Fourth Proportional to 12,953.76, 17,876.12 and 7,364.80

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Solution

The fourth proportional to 12,953.76, 17,876.12 and 7,364.80 is: 10,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.76 : 17,876.12 = 7,364.80 : x
  2. Step 2: Convert to fraction form
    12,953.76/17,876.12 = 7,364.80/x
  3. Step 3: Cross multiply
    12,953.76x = 17,876.12 × 7,364.80
  4. Step 4: Simplify right side
    12,953.76x = 131,654,048.58
  5. Step 5: Solve for x
    x = 131,654,048.58/12,953.76
  6. Step 6: Final answer
    x = 10,163.38

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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.