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Finding the Fourth Proportional to 9,027.68, 13,566.42 and 7,885.04

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Solution

The fourth proportional to 9,027.68, 13,566.42 and 7,885.04 is: 11,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.68 : 13,566.42 = 7,885.04 : x
  2. Step 2: Convert to fraction form
    9,027.68/13,566.42 = 7,885.04/x
  3. Step 3: Cross multiply
    9,027.68x = 13,566.42 × 7,885.04
  4. Step 4: Simplify right side
    9,027.68x = 106,971,696.52
  5. Step 5: Solve for x
    x = 106,971,696.52/9,027.68
  6. Step 6: Final answer
    x = 11,849.31

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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.