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Finding the Fourth Proportional to 10,098, 15,146.86 and 3,524.16

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Solution

The fourth proportional to 10,098, 15,146.86 and 3,524.16 is: 5,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 15,146.86 = 3,524.16 : x
  2. Step 2: Convert to fraction form
    10,098/15,146.86 = 3,524.16/x
  3. Step 3: Cross multiply
    10,098x = 15,146.86 × 3,524.16
  4. Step 4: Simplify right side
    10,098x = 53,379,958.14
  5. Step 5: Solve for x
    x = 53,379,958.14/10,098
  6. Step 6: Final answer
    x = 5,286.19

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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.