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Finding the Fourth Proportional to 16,759, 23,126.36 and 9,203.84

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Solution

The fourth proportional to 16,759, 23,126.36 and 9,203.84 is: 12,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,759 : 23,126.36 = 9,203.84 : x
  2. Step 2: Convert to fraction form
    16,759/23,126.36 = 9,203.84/x
  3. Step 3: Cross multiply
    16,759x = 23,126.36 × 9,203.84
  4. Step 4: Simplify right side
    16,759x = 212,851,317.22
  5. Step 5: Solve for x
    x = 212,851,317.22/16,759
  6. Step 6: Final answer
    x = 12,700.72

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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.