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Finding the Fourth Proportional to 6,846.76, 10,266.30 and 4,658.44

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Solution

The fourth proportional to 6,846.76, 10,266.30 and 4,658.44 is: 6,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.76 : 10,266.30 = 4,658.44 : x
  2. Step 2: Convert to fraction form
    6,846.76/10,266.30 = 4,658.44/x
  3. Step 3: Cross multiply
    6,846.76x = 10,266.30 × 4,658.44
  4. Step 4: Simplify right side
    6,846.76x = 47,824,942.57
  5. Step 5: Solve for x
    x = 47,824,942.57/6,846.76
  6. Step 6: Final answer
    x = 6,985.05

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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.