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Finding the Fourth Proportional to 15,899.85, 23,850.22 and 4,213.07

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Solution

The fourth proportional to 15,899.85, 23,850.22 and 4,213.07 is: 6,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.85 : 23,850.22 = 4,213.07 : x
  2. Step 2: Convert to fraction form
    15,899.85/23,850.22 = 4,213.07/x
  3. Step 3: Cross multiply
    15,899.85x = 23,850.22 × 4,213.07
  4. Step 4: Simplify right side
    15,899.85x = 100,482,646.38
  5. Step 5: Solve for x
    x = 100,482,646.38/15,899.85
  6. Step 6: Final answer
    x = 6,319.72

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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.