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Finding the Fourth Proportional to 12,199.02, 16,834.55 and 6,893.87

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Solution

The fourth proportional to 12,199.02, 16,834.55 and 6,893.87 is: 9,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.02 : 16,834.55 = 6,893.87 : x
  2. Step 2: Convert to fraction form
    12,199.02/16,834.55 = 6,893.87/x
  3. Step 3: Cross multiply
    12,199.02x = 16,834.55 × 6,893.87
  4. Step 4: Simplify right side
    12,199.02x = 116,055,080.57
  5. Step 5: Solve for x
    x = 116,055,080.57/12,199.02
  6. Step 6: Final answer
    x = 9,513.48

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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.