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Finding the Fourth Proportional to 8,173.98, 12,265.64 and 6,803.92

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Solution

The fourth proportional to 8,173.98, 12,265.64 and 6,803.92 is: 10,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.98 : 12,265.64 = 6,803.92 : x
  2. Step 2: Convert to fraction form
    8,173.98/12,265.64 = 6,803.92/x
  3. Step 3: Cross multiply
    8,173.98x = 12,265.64 × 6,803.92
  4. Step 4: Simplify right side
    8,173.98x = 83,454,433.31
  5. Step 5: Solve for x
    x = 83,454,433.31/8,173.98
  6. Step 6: Final answer
    x = 10,209.77

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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.