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Finding the Fourth Proportional to 11,576.93, 15,976.22 and 6,271.77

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Solution

The fourth proportional to 11,576.93, 15,976.22 and 6,271.77 is: 8,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.93 : 15,976.22 = 6,271.77 : x
  2. Step 2: Convert to fraction form
    11,576.93/15,976.22 = 6,271.77/x
  3. Step 3: Cross multiply
    11,576.93x = 15,976.22 × 6,271.77
  4. Step 4: Simplify right side
    11,576.93x = 100,199,145.95
  5. Step 5: Solve for x
    x = 100,199,145.95/11,576.93
  6. Step 6: Final answer
    x = 8,655.07

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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.