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Finding the Fourth Proportional to 11,157.40, 16,711.80 and 9,926.20

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Solution

The fourth proportional to 11,157.40, 16,711.80 and 9,926.20 is: 14,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.40 : 16,711.80 = 9,926.20 : x
  2. Step 2: Convert to fraction form
    11,157.40/16,711.80 = 9,926.20/x
  3. Step 3: Cross multiply
    11,157.40x = 16,711.80 × 9,926.20
  4. Step 4: Simplify right side
    11,157.40x = 165,884,669.16
  5. Step 5: Solve for x
    x = 165,884,669.16/11,157.40
  6. Step 6: Final answer
    x = 14,867.68

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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.