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Finding the Fourth Proportional to 9,662.85, 14,496.35 and 2,999.21

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Solution

The fourth proportional to 9,662.85, 14,496.35 and 2,999.21 is: 4,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.85 : 14,496.35 = 2,999.21 : x
  2. Step 2: Convert to fraction form
    9,662.85/14,496.35 = 2,999.21/x
  3. Step 3: Cross multiply
    9,662.85x = 14,496.35 × 2,999.21
  4. Step 4: Simplify right side
    9,662.85x = 43,477,597.88
  5. Step 5: Solve for x
    x = 43,477,597.88/9,662.85
  6. Step 6: Final answer
    x = 4,499.46

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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.