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Finding the Fourth Proportional to 11,197.40, 16,771.80 and 9,966.20

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Solution

The fourth proportional to 11,197.40, 16,771.80 and 9,966.20 is: 14,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.40 : 16,771.80 = 9,966.20 : x
  2. Step 2: Convert to fraction form
    11,197.40/16,771.80 = 9,966.20/x
  3. Step 3: Cross multiply
    11,197.40x = 16,771.80 × 9,966.20
  4. Step 4: Simplify right side
    11,197.40x = 167,151,113.16
  5. Step 5: Solve for x
    x = 167,151,113.16/11,197.40
  6. Step 6: Final answer
    x = 14,927.67

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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.