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Finding the Fourth Proportional to 8,409, 11,604.42 and 4,683.24

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Solution

The fourth proportional to 8,409, 11,604.42 and 4,683.24 is: 6,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 11,604.42 = 4,683.24 : x
  2. Step 2: Convert to fraction form
    8,409/11,604.42 = 4,683.24/x
  3. Step 3: Cross multiply
    8,409x = 11,604.42 × 4,683.24
  4. Step 4: Simplify right side
    8,409x = 54,346,283.92
  5. Step 5: Solve for x
    x = 54,346,283.92/8,409
  6. Step 6: Final answer
    x = 6,462.87

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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.