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Finding the Fourth Proportional to 14,082.56, 19,433.88 and 7,794.80

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Solution

The fourth proportional to 14,082.56, 19,433.88 and 7,794.80 is: 10,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.56 : 19,433.88 = 7,794.80 : x
  2. Step 2: Convert to fraction form
    14,082.56/19,433.88 = 7,794.80/x
  3. Step 3: Cross multiply
    14,082.56x = 19,433.88 × 7,794.80
  4. Step 4: Simplify right side
    14,082.56x = 151,483,207.82
  5. Step 5: Solve for x
    x = 151,483,207.82/14,082.56
  6. Step 6: Final answer
    x = 10,756.79

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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.