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Finding the Fourth Proportional to 10,695, 16,048.98 and 4,539

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Solution

The fourth proportional to 10,695, 16,048.98 and 4,539 is: 6,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695 : 16,048.98 = 4,539 : x
  2. Step 2: Convert to fraction form
    10,695/16,048.98 = 4,539/x
  3. Step 3: Cross multiply
    10,695x = 16,048.98 × 4,539
  4. Step 4: Simplify right side
    10,695x = 72,846,320.22
  5. Step 5: Solve for x
    x = 72,846,320.22/10,695
  6. Step 6: Final answer
    x = 6,811.25

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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.