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Finding the Fourth Proportional to 8,605.60, 12,909.84 and 4,222.48

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Solution

The fourth proportional to 8,605.60, 12,909.84 and 4,222.48 is: 6,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.60 : 12,909.84 = 4,222.48 : x
  2. Step 2: Convert to fraction form
    8,605.60/12,909.84 = 4,222.48/x
  3. Step 3: Cross multiply
    8,605.60x = 12,909.84 × 4,222.48
  4. Step 4: Simplify right side
    8,605.60x = 54,511,541.20
  5. Step 5: Solve for x
    x = 54,511,541.20/8,605.60
  6. Step 6: Final answer
    x = 6,334.43

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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.