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Finding the Fourth Proportional to 6,754, 10,136.24 and 4,688.52

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Solution

The fourth proportional to 6,754, 10,136.24 and 4,688.52 is: 7,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754 : 10,136.24 = 4,688.52 : x
  2. Step 2: Convert to fraction form
    6,754/10,136.24 = 4,688.52/x
  3. Step 3: Cross multiply
    6,754x = 10,136.24 × 4,688.52
  4. Step 4: Simplify right side
    6,754x = 47,523,963.96
  5. Step 5: Solve for x
    x = 47,523,963.96/6,754
  6. Step 6: Final answer
    x = 7,036.42

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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.