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Finding the Fourth Proportional to 6,092.34, 9,136.89 and 1,710.06

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Solution

The fourth proportional to 6,092.34, 9,136.89 and 1,710.06 is: 2,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.34 : 9,136.89 = 1,710.06 : x
  2. Step 2: Convert to fraction form
    6,092.34/9,136.89 = 1,710.06/x
  3. Step 3: Cross multiply
    6,092.34x = 9,136.89 × 1,710.06
  4. Step 4: Simplify right side
    6,092.34x = 15,624,630.11
  5. Step 5: Solve for x
    x = 15,624,630.11/6,092.34
  6. Step 6: Final answer
    x = 2,564.64

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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.