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Finding the Fourth Proportional to 20,771.40, 31,157.10 and 9,674.40

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Solution

The fourth proportional to 20,771.40, 31,157.10 and 9,674.40 is: 14,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.40 : 31,157.10 = 9,674.40 : x
  2. Step 2: Convert to fraction form
    20,771.40/31,157.10 = 9,674.40/x
  3. Step 3: Cross multiply
    20,771.40x = 31,157.10 × 9,674.40
  4. Step 4: Simplify right side
    20,771.40x = 301,426,248.24
  5. Step 5: Solve for x
    x = 301,426,248.24/20,771.40
  6. Step 6: Final answer
    x = 14,511.60

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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.