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Finding the Fourth Proportional to 9,850.75, 13,594.05 and 5,374.53

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Solution

The fourth proportional to 9,850.75, 13,594.05 and 5,374.53 is: 7,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.75 : 13,594.05 = 5,374.53 : x
  2. Step 2: Convert to fraction form
    9,850.75/13,594.05 = 5,374.53/x
  3. Step 3: Cross multiply
    9,850.75x = 13,594.05 × 5,374.53
  4. Step 4: Simplify right side
    9,850.75x = 73,061,629.55
  5. Step 5: Solve for x
    x = 73,061,629.55/9,850.75
  6. Step 6: Final answer
    x = 7,416.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.