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Finding the Fourth Proportional to 8,534.40, 11,773.26 and 7,353.42

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Solution

The fourth proportional to 8,534.40, 11,773.26 and 7,353.42 is: 10,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.40 : 11,773.26 = 7,353.42 : x
  2. Step 2: Convert to fraction form
    8,534.40/11,773.26 = 7,353.42/x
  3. Step 3: Cross multiply
    8,534.40x = 11,773.26 × 7,353.42
  4. Step 4: Simplify right side
    8,534.40x = 86,573,725.55
  5. Step 5: Solve for x
    x = 86,573,725.55/8,534.40
  6. Step 6: Final answer
    x = 10,144.09

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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.