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Finding the Fourth Proportional to 8,271.77, 11,415.20 and 4,494.96

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Solution

The fourth proportional to 8,271.77, 11,415.20 and 4,494.96 is: 6,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.77 : 11,415.20 = 4,494.96 : x
  2. Step 2: Convert to fraction form
    8,271.77/11,415.20 = 4,494.96/x
  3. Step 3: Cross multiply
    8,271.77x = 11,415.20 × 4,494.96
  4. Step 4: Simplify right side
    8,271.77x = 51,310,844.92
  5. Step 5: Solve for x
    x = 51,310,844.92/8,271.77
  6. Step 6: Final answer
    x = 6,203.13

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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.