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Finding the Fourth Proportional to 16,928.25, 23,361 and 9,476.25

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Solution

The fourth proportional to 16,928.25, 23,361 and 9,476.25 is: 13,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928.25 : 23,361 = 9,476.25 : x
  2. Step 2: Convert to fraction form
    16,928.25/23,361 = 9,476.25/x
  3. Step 3: Cross multiply
    16,928.25x = 23,361 × 9,476.25
  4. Step 4: Simplify right side
    16,928.25x = 221,374,676.25
  5. Step 5: Solve for x
    x = 221,374,676.25/16,928.25
  6. Step 6: Final answer
    x = 13,077.23

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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.