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Finding the Fourth Proportional to 16,678.83, 23,016.97 and 9,125

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Solution

The fourth proportional to 16,678.83, 23,016.97 and 9,125 is: 12,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.83 : 23,016.97 = 9,125 : x
  2. Step 2: Convert to fraction form
    16,678.83/23,016.97 = 9,125/x
  3. Step 3: Cross multiply
    16,678.83x = 23,016.97 × 9,125
  4. Step 4: Simplify right side
    16,678.83x = 210,029,851.25
  5. Step 5: Solve for x
    x = 210,029,851.25/16,678.83
  6. Step 6: Final answer
    x = 12,592.60

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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.