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Finding the Fourth Proportional to 8,409.75, 11,605.46 and 4,683.75

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Solution

The fourth proportional to 8,409.75, 11,605.46 and 4,683.75 is: 6,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.75 : 11,605.46 = 4,683.75 : x
  2. Step 2: Convert to fraction form
    8,409.75/11,605.46 = 4,683.75/x
  3. Step 3: Cross multiply
    8,409.75x = 11,605.46 × 4,683.75
  4. Step 4: Simplify right side
    8,409.75x = 54,357,049.86
  5. Step 5: Solve for x
    x = 54,357,049.86/8,409.75
  6. Step 6: Final answer
    x = 6,463.58

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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.