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Finding the Fourth Proportional to 6,866.90, 10,300.12 and 2,703.91

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Solution

The fourth proportional to 6,866.90, 10,300.12 and 2,703.91 is: 4,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.90 : 10,300.12 = 2,703.91 : x
  2. Step 2: Convert to fraction form
    6,866.90/10,300.12 = 2,703.91/x
  3. Step 3: Cross multiply
    6,866.90x = 10,300.12 × 2,703.91
  4. Step 4: Simplify right side
    6,866.90x = 27,850,597.47
  5. Step 5: Solve for x
    x = 27,850,597.47/6,866.90
  6. Step 6: Final answer
    x = 4,055.77

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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.