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Finding the Fourth Proportional to 22,975.40, 34,463.10 and 11,311.40

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Solution

The fourth proportional to 22,975.40, 34,463.10 and 11,311.40 is: 16,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.40 : 34,463.10 = 11,311.40 : x
  2. Step 2: Convert to fraction form
    22,975.40/34,463.10 = 11,311.40/x
  3. Step 3: Cross multiply
    22,975.40x = 34,463.10 × 11,311.40
  4. Step 4: Simplify right side
    22,975.40x = 389,825,909.34
  5. Step 5: Solve for x
    x = 389,825,909.34/22,975.40
  6. Step 6: Final answer
    x = 16,967.10

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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.