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Finding the Fourth Proportional to 10,491.50, 15,743.42 and 4,648.16

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Solution

The fourth proportional to 10,491.50, 15,743.42 and 4,648.16 is: 6,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.50 : 15,743.42 = 4,648.16 : x
  2. Step 2: Convert to fraction form
    10,491.50/15,743.42 = 4,648.16/x
  3. Step 3: Cross multiply
    10,491.50x = 15,743.42 × 4,648.16
  4. Step 4: Simplify right side
    10,491.50x = 73,177,935.11
  5. Step 5: Solve for x
    x = 73,177,935.11/10,491.50
  6. Step 6: Final answer
    x = 6,974.97

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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.