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Finding the Fourth Proportional to 11,569, 17,349.90 and 4,172.50

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Solution

The fourth proportional to 11,569, 17,349.90 and 4,172.50 is: 6,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569 : 17,349.90 = 4,172.50 : x
  2. Step 2: Convert to fraction form
    11,569/17,349.90 = 4,172.50/x
  3. Step 3: Cross multiply
    11,569x = 17,349.90 × 4,172.50
  4. Step 4: Simplify right side
    11,569x = 72,392,457.75
  5. Step 5: Solve for x
    x = 72,392,457.75/11,569
  6. Step 6: Final answer
    x = 6,257.45

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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.