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Finding the Fourth Proportional to 10,563.85, 14,575 and 6,085.99

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Solution

The fourth proportional to 10,563.85, 14,575 and 6,085.99 is: 8,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.85 : 14,575 = 6,085.99 : x
  2. Step 2: Convert to fraction form
    10,563.85/14,575 = 6,085.99/x
  3. Step 3: Cross multiply
    10,563.85x = 14,575 × 6,085.99
  4. Step 4: Simplify right side
    10,563.85x = 88,703,304.25
  5. Step 5: Solve for x
    x = 88,703,304.25/10,563.85
  6. Step 6: Final answer
    x = 8,396.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.