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Finding the Fourth Proportional to 16,489.84, 22,746 and 9,773.32

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Solution

The fourth proportional to 16,489.84, 22,746 and 9,773.32 is: 13,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.84 : 22,746 = 9,773.32 : x
  2. Step 2: Convert to fraction form
    16,489.84/22,746 = 9,773.32/x
  3. Step 3: Cross multiply
    16,489.84x = 22,746 × 9,773.32
  4. Step 4: Simplify right side
    16,489.84x = 222,303,936.72
  5. Step 5: Solve for x
    x = 222,303,936.72/16,489.84
  6. Step 6: Final answer
    x = 13,481.27

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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.