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Finding the Fourth Proportional to 29,183.76, 43,782.84 and 8,407.08

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Solution

The fourth proportional to 29,183.76, 43,782.84 and 8,407.08 is: 12,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,183.76 : 43,782.84 = 8,407.08 : x
  2. Step 2: Convert to fraction form
    29,183.76/43,782.84 = 8,407.08/x
  3. Step 3: Cross multiply
    29,183.76x = 43,782.84 × 8,407.08
  4. Step 4: Simplify right side
    29,183.76x = 368,085,838.51
  5. Step 5: Solve for x
    x = 368,085,838.51/29,183.76
  6. Step 6: Final answer
    x = 12,612.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.