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Finding the Fourth Proportional to 6,695, 10,041.90 and 4,517.72

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Solution

The fourth proportional to 6,695, 10,041.90 and 4,517.72 is: 6,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695 : 10,041.90 = 4,517.72 : x
  2. Step 2: Convert to fraction form
    6,695/10,041.90 = 4,517.72/x
  3. Step 3: Cross multiply
    6,695x = 10,041.90 × 4,517.72
  4. Step 4: Simplify right side
    6,695x = 45,366,492.47
  5. Step 5: Solve for x
    x = 45,366,492.47/6,695
  6. Step 6: Final answer
    x = 6,776.18

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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.