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Finding the Fourth Proportional to 8,546.24, 11,794.92 and 5,895.20

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Solution

The fourth proportional to 8,546.24, 11,794.92 and 5,895.20 is: 8,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.24 : 11,794.92 = 5,895.20 : x
  2. Step 2: Convert to fraction form
    8,546.24/11,794.92 = 5,895.20/x
  3. Step 3: Cross multiply
    8,546.24x = 11,794.92 × 5,895.20
  4. Step 4: Simplify right side
    8,546.24x = 69,533,412.38
  5. Step 5: Solve for x
    x = 69,533,412.38/8,546.24
  6. Step 6: Final answer
    x = 8,136.14

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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.