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Finding the Fourth Proportional to 7,010.50, 10,514.59 and 3,496.79

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Solution

The fourth proportional to 7,010.50, 10,514.59 and 3,496.79 is: 5,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.50 : 10,514.59 = 3,496.79 : x
  2. Step 2: Convert to fraction form
    7,010.50/10,514.59 = 3,496.79/x
  3. Step 3: Cross multiply
    7,010.50x = 10,514.59 × 3,496.79
  4. Step 4: Simplify right side
    7,010.50x = 36,767,313.17
  5. Step 5: Solve for x
    x = 36,767,313.17/7,010.50
  6. Step 6: Final answer
    x = 5,244.61

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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.