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Finding the Fourth Proportional to 10,495.74, 15,743.00 and 4,650.38

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Solution

The fourth proportional to 10,495.74, 15,743.00 and 4,650.38 is: 6,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.74 : 15,743.00 = 4,650.38 : x
  2. Step 2: Convert to fraction form
    10,495.74/15,743.00 = 4,650.38/x
  3. Step 3: Cross multiply
    10,495.74x = 15,743.00 × 4,650.38
  4. Step 4: Simplify right side
    10,495.74x = 73,210,830.37
  5. Step 5: Solve for x
    x = 73,210,830.37/10,495.74
  6. Step 6: Final answer
    x = 6,975.29

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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.