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Finding the Fourth Proportional to 8,214.62, 12,301.88 and 6,750.54

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Solution

The fourth proportional to 8,214.62, 12,301.88 and 6,750.54 is: 10,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.62 : 12,301.88 = 6,750.54 : x
  2. Step 2: Convert to fraction form
    8,214.62/12,301.88 = 6,750.54/x
  3. Step 3: Cross multiply
    8,214.62x = 12,301.88 × 6,750.54
  4. Step 4: Simplify right side
    8,214.62x = 83,044,299.26
  5. Step 5: Solve for x
    x = 83,044,299.26/8,214.62
  6. Step 6: Final answer
    x = 10,109.34

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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.