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Finding the Fourth Proportional to 16,967.95, 23,415.75 and 9,893

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Solution

The fourth proportional to 16,967.95, 23,415.75 and 9,893 is: 13,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.95 : 23,415.75 = 9,893 : x
  2. Step 2: Convert to fraction form
    16,967.95/23,415.75 = 9,893/x
  3. Step 3: Cross multiply
    16,967.95x = 23,415.75 × 9,893
  4. Step 4: Simplify right side
    16,967.95x = 231,652,014.75
  5. Step 5: Solve for x
    x = 231,652,014.75/16,967.95
  6. Step 6: Final answer
    x = 13,652.33

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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.