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Finding the Fourth Proportional to 8,435.57, 11,646.06 and 5,786.87

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Solution

The fourth proportional to 8,435.57, 11,646.06 and 5,786.87 is: 7,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.57 : 11,646.06 = 5,786.87 : x
  2. Step 2: Convert to fraction form
    8,435.57/11,646.06 = 5,786.87/x
  3. Step 3: Cross multiply
    8,435.57x = 11,646.06 × 5,786.87
  4. Step 4: Simplify right side
    8,435.57x = 67,394,235.23
  5. Step 5: Solve for x
    x = 67,394,235.23/8,435.57
  6. Step 6: Final answer
    x = 7,989.29

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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.