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Finding the Fourth Proportional to 8,614.84, 12,897.66 and 6,748.60

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Solution

The fourth proportional to 8,614.84, 12,897.66 and 6,748.60 is: 10,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.84 : 12,897.66 = 6,748.60 : x
  2. Step 2: Convert to fraction form
    8,614.84/12,897.66 = 6,748.60/x
  3. Step 3: Cross multiply
    8,614.84x = 12,897.66 × 6,748.60
  4. Step 4: Simplify right side
    8,614.84x = 87,041,148.28
  5. Step 5: Solve for x
    x = 87,041,148.28/8,614.84
  6. Step 6: Final answer
    x = 10,103.63

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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.