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Finding the Fourth Proportional to 10,646.43, 14,692.10 and 5,930.88

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Solution

The fourth proportional to 10,646.43, 14,692.10 and 5,930.88 is: 8,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.43 : 14,692.10 = 5,930.88 : x
  2. Step 2: Convert to fraction form
    10,646.43/14,692.10 = 5,930.88/x
  3. Step 3: Cross multiply
    10,646.43x = 14,692.10 × 5,930.88
  4. Step 4: Simplify right side
    10,646.43x = 87,137,052.39
  5. Step 5: Solve for x
    x = 87,137,052.39/10,646.43
  6. Step 6: Final answer
    x = 8,184.63

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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.