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Finding the Fourth Proportional to 8,151.74, 11,249.58 and 4,965.19

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Solution

The fourth proportional to 8,151.74, 11,249.58 and 4,965.19 is: 6,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.74 : 11,249.58 = 4,965.19 : x
  2. Step 2: Convert to fraction form
    8,151.74/11,249.58 = 4,965.19/x
  3. Step 3: Cross multiply
    8,151.74x = 11,249.58 × 4,965.19
  4. Step 4: Simplify right side
    8,151.74x = 55,856,302.12
  5. Step 5: Solve for x
    x = 55,856,302.12/8,151.74
  6. Step 6: Final answer
    x = 6,852.07

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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.