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Finding the Fourth Proportional to 8,409.25, 11,604.77 and 4,683.25

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Solution

The fourth proportional to 8,409.25, 11,604.77 and 4,683.25 is: 6,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.25 : 11,604.77 = 4,683.25 : x
  2. Step 2: Convert to fraction form
    8,409.25/11,604.77 = 4,683.25/x
  3. Step 3: Cross multiply
    8,409.25x = 11,604.77 × 4,683.25
  4. Step 4: Simplify right side
    8,409.25x = 54,348,039.10
  5. Step 5: Solve for x
    x = 54,348,039.10/8,409.25
  6. Step 6: Final answer
    x = 6,462.89

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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.