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Finding the Fourth Proportional to 8,394.41, 11,564.28 and 5,871.80

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Solution

The fourth proportional to 8,394.41, 11,564.28 and 5,871.80 is: 8,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.41 : 11,564.28 = 5,871.80 : x
  2. Step 2: Convert to fraction form
    8,394.41/11,564.28 = 5,871.80/x
  3. Step 3: Cross multiply
    8,394.41x = 11,564.28 × 5,871.80
  4. Step 4: Simplify right side
    8,394.41x = 67,903,139.30
  5. Step 5: Solve for x
    x = 67,903,139.30/8,394.41
  6. Step 6: Final answer
    x = 8,089.09

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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.