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Finding the Fourth Proportional to 12,770.40, 17,630.40 and 8,520.32

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Solution

The fourth proportional to 12,770.40, 17,630.40 and 8,520.32 is: 11,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.40 : 17,630.40 = 8,520.32 : x
  2. Step 2: Convert to fraction form
    12,770.40/17,630.40 = 8,520.32/x
  3. Step 3: Cross multiply
    12,770.40x = 17,630.40 × 8,520.32
  4. Step 4: Simplify right side
    12,770.40x = 150,216,649.73
  5. Step 5: Solve for x
    x = 150,216,649.73/12,770.40
  6. Step 6: Final answer
    x = 11,762.88

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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.