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Finding the Fourth Proportional to 10,277, 14,178.96 and 6,296.12

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Solution

The fourth proportional to 10,277, 14,178.96 and 6,296.12 is: 8,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277 : 14,178.96 = 6,296.12 : x
  2. Step 2: Convert to fraction form
    10,277/14,178.96 = 6,296.12/x
  3. Step 3: Cross multiply
    10,277x = 14,178.96 × 6,296.12
  4. Step 4: Simplify right side
    10,277x = 89,272,433.64
  5. Step 5: Solve for x
    x = 89,272,433.64/10,277
  6. Step 6: Final answer
    x = 8,686.62

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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.