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Finding the Fourth Proportional to 10,967.80, 16,454.10 and 5,423.80

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Solution

The fourth proportional to 10,967.80, 16,454.10 and 5,423.80 is: 8,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.80 : 16,454.10 = 5,423.80 : x
  2. Step 2: Convert to fraction form
    10,967.80/16,454.10 = 5,423.80/x
  3. Step 3: Cross multiply
    10,967.80x = 16,454.10 × 5,423.80
  4. Step 4: Simplify right side
    10,967.80x = 89,243,747.58
  5. Step 5: Solve for x
    x = 89,243,747.58/10,967.80
  6. Step 6: Final answer
    x = 8,136.89

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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.