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Finding the Fourth Proportional to 11,412.70, 17,136.65 and 6,228.70

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Solution

The fourth proportional to 11,412.70, 17,136.65 and 6,228.70 is: 9,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.70 : 17,136.65 = 6,228.70 : x
  2. Step 2: Convert to fraction form
    11,412.70/17,136.65 = 6,228.70/x
  3. Step 3: Cross multiply
    11,412.70x = 17,136.65 × 6,228.70
  4. Step 4: Simplify right side
    11,412.70x = 106,739,051.86
  5. Step 5: Solve for x
    x = 106,739,051.86/11,412.70
  6. Step 6: Final answer
    x = 9,352.66

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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.