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Finding the Fourth Proportional to 9,847.14, 14,770.79 and 6,938.50

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Solution

The fourth proportional to 9,847.14, 14,770.79 and 6,938.50 is: 10,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.14 : 14,770.79 = 6,938.50 : x
  2. Step 2: Convert to fraction form
    9,847.14/14,770.79 = 6,938.50/x
  3. Step 3: Cross multiply
    9,847.14x = 14,770.79 × 6,938.50
  4. Step 4: Simplify right side
    9,847.14x = 102,487,126.42
  5. Step 5: Solve for x
    x = 102,487,126.42/9,847.14
  6. Step 6: Final answer
    x = 10,407.81

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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.