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Finding the Fourth Proportional to 10,751.72, 16,136.38 and 9,505.74

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Solution

The fourth proportional to 10,751.72, 16,136.38 and 9,505.74 is: 14,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.72 : 16,136.38 = 9,505.74 : x
  2. Step 2: Convert to fraction form
    10,751.72/16,136.38 = 9,505.74/x
  3. Step 3: Cross multiply
    10,751.72x = 16,136.38 × 9,505.74
  4. Step 4: Simplify right side
    10,751.72x = 153,388,232.82
  5. Step 5: Solve for x
    x = 153,388,232.82/10,751.72
  6. Step 6: Final answer
    x = 14,266.39

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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.