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Finding the Fourth Proportional to 9,181.80, 13,782.42 and 8,715.24

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Solution

The fourth proportional to 9,181.80, 13,782.42 and 8,715.24 is: 13,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.80 : 13,782.42 = 8,715.24 : x
  2. Step 2: Convert to fraction form
    9,181.80/13,782.42 = 8,715.24/x
  3. Step 3: Cross multiply
    9,181.80x = 13,782.42 × 8,715.24
  4. Step 4: Simplify right side
    9,181.80x = 120,117,098.08
  5. Step 5: Solve for x
    x = 120,117,098.08/9,181.80
  6. Step 6: Final answer
    x = 13,082.09

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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.