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Finding the Fourth Proportional to 9,560, 14,340.54 and 3,404

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Solution

The fourth proportional to 9,560, 14,340.54 and 3,404 is: 5,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560 : 14,340.54 = 3,404 : x
  2. Step 2: Convert to fraction form
    9,560/14,340.54 = 3,404/x
  3. Step 3: Cross multiply
    9,560x = 14,340.54 × 3,404
  4. Step 4: Simplify right side
    9,560x = 48,815,198.16
  5. Step 5: Solve for x
    x = 48,815,198.16/9,560
  6. Step 6: Final answer
    x = 5,106.19

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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.