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Finding the Fourth Proportional to 9,471.40, 14,207.10 and 8,596.60

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Solution

The fourth proportional to 9,471.40, 14,207.10 and 8,596.60 is: 12,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.40 : 14,207.10 = 8,596.60 : x
  2. Step 2: Convert to fraction form
    9,471.40/14,207.10 = 8,596.60/x
  3. Step 3: Cross multiply
    9,471.40x = 14,207.10 × 8,596.60
  4. Step 4: Simplify right side
    9,471.40x = 122,132,755.86
  5. Step 5: Solve for x
    x = 122,132,755.86/9,471.40
  6. Step 6: Final answer
    x = 12,894.90

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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.