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Finding the Fourth Proportional to 9,649.96, 14,474.93 and 2,724.46

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Solution

The fourth proportional to 9,649.96, 14,474.93 and 2,724.46 is: 4,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.96 : 14,474.93 = 2,724.46 : x
  2. Step 2: Convert to fraction form
    9,649.96/14,474.93 = 2,724.46/x
  3. Step 3: Cross multiply
    9,649.96x = 14,474.93 × 2,724.46
  4. Step 4: Simplify right side
    9,649.96x = 39,436,281.79
  5. Step 5: Solve for x
    x = 39,436,281.79/9,649.96
  6. Step 6: Final answer
    x = 4,086.68

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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.