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Finding the Fourth Proportional to 9,902.94, 14,856.39 and 3,241.32

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Solution

The fourth proportional to 9,902.94, 14,856.39 and 3,241.32 is: 4,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.94 : 14,856.39 = 3,241.32 : x
  2. Step 2: Convert to fraction form
    9,902.94/14,856.39 = 3,241.32/x
  3. Step 3: Cross multiply
    9,902.94x = 14,856.39 × 3,241.32
  4. Step 4: Simplify right side
    9,902.94x = 48,154,314.03
  5. Step 5: Solve for x
    x = 48,154,314.03/9,902.94
  6. Step 6: Final answer
    x = 4,862.63

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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.