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Finding the Fourth Proportional to 8,438.76, 11,645.46 and 4,661.82

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Solution

The fourth proportional to 8,438.76, 11,645.46 and 4,661.82 is: 6,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.76 : 11,645.46 = 4,661.82 : x
  2. Step 2: Convert to fraction form
    8,438.76/11,645.46 = 4,661.82/x
  3. Step 3: Cross multiply
    8,438.76x = 11,645.46 × 4,661.82
  4. Step 4: Simplify right side
    8,438.76x = 54,289,038.34
  5. Step 5: Solve for x
    x = 54,289,038.34/8,438.76
  6. Step 6: Final answer
    x = 6,433.30

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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.