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Finding the Fourth Proportional to 10,880.25, 15,014.84 and 5,912.25

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Solution

The fourth proportional to 10,880.25, 15,014.84 and 5,912.25 is: 8,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.25 : 15,014.84 = 5,912.25 : x
  2. Step 2: Convert to fraction form
    10,880.25/15,014.84 = 5,912.25/x
  3. Step 3: Cross multiply
    10,880.25x = 15,014.84 × 5,912.25
  4. Step 4: Simplify right side
    10,880.25x = 88,771,487.79
  5. Step 5: Solve for x
    x = 88,771,487.79/10,880.25
  6. Step 6: Final answer
    x = 8,158.96

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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.