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Finding the Fourth Proportional to 27,590, 41,385.12 and 6,813.50

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Solution

The fourth proportional to 27,590, 41,385.12 and 6,813.50 is: 10,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590 : 41,385.12 = 6,813.50 : x
  2. Step 2: Convert to fraction form
    27,590/41,385.12 = 6,813.50/x
  3. Step 3: Cross multiply
    27,590x = 41,385.12 × 6,813.50
  4. Step 4: Simplify right side
    27,590x = 281,977,515.12
  5. Step 5: Solve for x
    x = 281,977,515.12/27,590
  6. Step 6: Final answer
    x = 10,220.28

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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.