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Finding the Fourth Proportional to 6,847, 9,448.86 and 4,052.50

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Solution

The fourth proportional to 6,847, 9,448.86 and 4,052.50 is: 5,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847 : 9,448.86 = 4,052.50 : x
  2. Step 2: Convert to fraction form
    6,847/9,448.86 = 4,052.50/x
  3. Step 3: Cross multiply
    6,847x = 9,448.86 × 4,052.50
  4. Step 4: Simplify right side
    6,847x = 38,291,505.15
  5. Step 5: Solve for x
    x = 38,291,505.15/6,847
  6. Step 6: Final answer
    x = 5,592.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.