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Finding the Fourth Proportional to 16,697.40, 23,044.94 and 9,527.28

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Solution

The fourth proportional to 16,697.40, 23,044.94 and 9,527.28 is: 13,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.40 : 23,044.94 = 9,527.28 : x
  2. Step 2: Convert to fraction form
    16,697.40/23,044.94 = 9,527.28/x
  3. Step 3: Cross multiply
    16,697.40x = 23,044.94 × 9,527.28
  4. Step 4: Simplify right side
    16,697.40x = 219,555,595.96
  5. Step 5: Solve for x
    x = 219,555,595.96/16,697.40
  6. Step 6: Final answer
    x = 13,149.09

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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.