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Finding the Fourth Proportional to 30,914.37, 46,375.24 and 9,847.02

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Solution

The fourth proportional to 30,914.37, 46,375.24 and 9,847.02 is: 14,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.37 : 46,375.24 = 9,847.02 : x
  2. Step 2: Convert to fraction form
    30,914.37/46,375.24 = 9,847.02/x
  3. Step 3: Cross multiply
    30,914.37x = 46,375.24 × 9,847.02
  4. Step 4: Simplify right side
    30,914.37x = 456,657,915.78
  5. Step 5: Solve for x
    x = 456,657,915.78/30,914.37
  6. Step 6: Final answer
    x = 14,771.70

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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.