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Finding the Fourth Proportional to 11,337.50, 16,963.50 and 10,186.46

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Solution

The fourth proportional to 11,337.50, 16,963.50 and 10,186.46 is: 15,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.50 : 16,963.50 = 10,186.46 : x
  2. Step 2: Convert to fraction form
    11,337.50/16,963.50 = 10,186.46/x
  3. Step 3: Cross multiply
    11,337.50x = 16,963.50 × 10,186.46
  4. Step 4: Simplify right side
    11,337.50x = 172,798,014.21
  5. Step 5: Solve for x
    x = 172,798,014.21/11,337.50
  6. Step 6: Final answer
    x = 15,241.28

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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.