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Finding the Fourth Proportional to 9,899.98, 14,850.48 and 2,504.50

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Solution

The fourth proportional to 9,899.98, 14,850.48 and 2,504.50 is: 3,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.98 : 14,850.48 = 2,504.50 : x
  2. Step 2: Convert to fraction form
    9,899.98/14,850.48 = 2,504.50/x
  3. Step 3: Cross multiply
    9,899.98x = 14,850.48 × 2,504.50
  4. Step 4: Simplify right side
    9,899.98x = 37,193,027.16
  5. Step 5: Solve for x
    x = 37,193,027.16/9,899.98
  6. Step 6: Final answer
    x = 3,756.88

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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.