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Finding the Fourth Proportional to 11,646.87, 17,442.36 and 10,245.98

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Solution

The fourth proportional to 11,646.87, 17,442.36 and 10,245.98 is: 15,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.87 : 17,442.36 = 10,245.98 : x
  2. Step 2: Convert to fraction form
    11,646.87/17,442.36 = 10,245.98/x
  3. Step 3: Cross multiply
    11,646.87x = 17,442.36 × 10,245.98
  4. Step 4: Simplify right side
    11,646.87x = 178,713,984.50
  5. Step 5: Solve for x
    x = 178,713,984.50/11,646.87
  6. Step 6: Final answer
    x = 15,344.38

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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.