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Finding the Fourth Proportional to 6,751.02, 10,124.10 and 2,855.70

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Solution

The fourth proportional to 6,751.02, 10,124.10 and 2,855.70 is: 4,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.02 : 10,124.10 = 2,855.70 : x
  2. Step 2: Convert to fraction form
    6,751.02/10,124.10 = 2,855.70/x
  3. Step 3: Cross multiply
    6,751.02x = 10,124.10 × 2,855.70
  4. Step 4: Simplify right side
    6,751.02x = 28,911,392.37
  5. Step 5: Solve for x
    x = 28,911,392.37/6,751.02
  6. Step 6: Final answer
    x = 4,282.52

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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.