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Finding the Fourth Proportional to 11,758.16, 17,614.12 and 6,817.40

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Solution

The fourth proportional to 11,758.16, 17,614.12 and 6,817.40 is: 10,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.16 : 17,614.12 = 6,817.40 : x
  2. Step 2: Convert to fraction form
    11,758.16/17,614.12 = 6,817.40/x
  3. Step 3: Cross multiply
    11,758.16x = 17,614.12 × 6,817.40
  4. Step 4: Simplify right side
    11,758.16x = 120,082,501.69
  5. Step 5: Solve for x
    x = 120,082,501.69/11,758.16
  6. Step 6: Final answer
    x = 10,212.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.