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Finding the Fourth Proportional to 20,463.40, 30,695.10 and 7,311.40

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Solution

The fourth proportional to 20,463.40, 30,695.10 and 7,311.40 is: 10,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.40 : 30,695.10 = 7,311.40 : x
  2. Step 2: Convert to fraction form
    20,463.40/30,695.10 = 7,311.40/x
  3. Step 3: Cross multiply
    20,463.40x = 30,695.10 × 7,311.40
  4. Step 4: Simplify right side
    20,463.40x = 224,424,154.14
  5. Step 5: Solve for x
    x = 224,424,154.14/20,463.40
  6. Step 6: Final answer
    x = 10,967.10

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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.