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Finding the Fourth Proportional to 10,370, 15,556.92 and 4,898

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Solution

The fourth proportional to 10,370, 15,556.92 and 4,898 is: 7,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370 : 15,556.92 = 4,898 : x
  2. Step 2: Convert to fraction form
    10,370/15,556.92 = 4,898/x
  3. Step 3: Cross multiply
    10,370x = 15,556.92 × 4,898
  4. Step 4: Simplify right side
    10,370x = 76,197,794.16
  5. Step 5: Solve for x
    x = 76,197,794.16/10,370
  6. Step 6: Final answer
    x = 7,347.91

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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.