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Finding the Fourth Proportional to 8,462, 11,674.86 and 5,480.12

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Solution

The fourth proportional to 8,462, 11,674.86 and 5,480.12 is: 7,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 11,674.86 = 5,480.12 : x
  2. Step 2: Convert to fraction form
    8,462/11,674.86 = 5,480.12/x
  3. Step 3: Cross multiply
    8,462x = 11,674.86 × 5,480.12
  4. Step 4: Simplify right side
    8,462x = 63,979,633.78
  5. Step 5: Solve for x
    x = 63,979,633.78/8,462
  6. Step 6: Final answer
    x = 7,560.82

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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.