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Finding the Fourth Proportional to 11,231.55, 16,829.10 and 7,064.10

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Solution

The fourth proportional to 11,231.55, 16,829.10 and 7,064.10 is: 10,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.55 : 16,829.10 = 7,064.10 : x
  2. Step 2: Convert to fraction form
    11,231.55/16,829.10 = 7,064.10/x
  3. Step 3: Cross multiply
    11,231.55x = 16,829.10 × 7,064.10
  4. Step 4: Simplify right side
    11,231.55x = 118,882,445.31
  5. Step 5: Solve for x
    x = 118,882,445.31/11,231.55
  6. Step 6: Final answer
    x = 10,584.69

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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.