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Finding the Fourth Proportional to 9,486.89, 14,232 and 3,245.43

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Solution

The fourth proportional to 9,486.89, 14,232 and 3,245.43 is: 4,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.89 : 14,232 = 3,245.43 : x
  2. Step 2: Convert to fraction form
    9,486.89/14,232 = 3,245.43/x
  3. Step 3: Cross multiply
    9,486.89x = 14,232 × 3,245.43
  4. Step 4: Simplify right side
    9,486.89x = 46,188,959.76
  5. Step 5: Solve for x
    x = 46,188,959.76/9,486.89
  6. Step 6: Final answer
    x = 4,868.72

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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.