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Finding the Fourth Proportional to 10,757.50, 14,844.02 and 6,277.99

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Solution

The fourth proportional to 10,757.50, 14,844.02 and 6,277.99 is: 8,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.50 : 14,844.02 = 6,277.99 : x
  2. Step 2: Convert to fraction form
    10,757.50/14,844.02 = 6,277.99/x
  3. Step 3: Cross multiply
    10,757.50x = 14,844.02 × 6,277.99
  4. Step 4: Simplify right side
    10,757.50x = 93,190,609.12
  5. Step 5: Solve for x
    x = 93,190,609.12/10,757.50
  6. Step 6: Final answer
    x = 8,662.85

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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.