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Finding the Fourth Proportional to 6,855.85, 9,461.11 and 3,712.04

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Solution

The fourth proportional to 6,855.85, 9,461.11 and 3,712.04 is: 5,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.85 : 9,461.11 = 3,712.04 : x
  2. Step 2: Convert to fraction form
    6,855.85/9,461.11 = 3,712.04/x
  3. Step 3: Cross multiply
    6,855.85x = 9,461.11 × 3,712.04
  4. Step 4: Simplify right side
    6,855.85x = 35,119,962.18
  5. Step 5: Solve for x
    x = 35,119,962.18/6,855.85
  6. Step 6: Final answer
    x = 5,122.63

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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.