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Finding the Fourth Proportional to 16,481, 22,744.74 and 9,409.64

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Solution

The fourth proportional to 16,481, 22,744.74 and 9,409.64 is: 12,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481 : 22,744.74 = 9,409.64 : x
  2. Step 2: Convert to fraction form
    16,481/22,744.74 = 9,409.64/x
  3. Step 3: Cross multiply
    16,481x = 22,744.74 × 9,409.64
  4. Step 4: Simplify right side
    16,481x = 214,019,815.29
  5. Step 5: Solve for x
    x = 214,019,815.29/16,481
  6. Step 6: Final answer
    x = 12,985.85

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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.