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Finding the Fourth Proportional to 7,013.47, 10,514.64 and 3,501.67

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Solution

The fourth proportional to 7,013.47, 10,514.64 and 3,501.67 is: 5,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.47 : 10,514.64 = 3,501.67 : x
  2. Step 2: Convert to fraction form
    7,013.47/10,514.64 = 3,501.67/x
  3. Step 3: Cross multiply
    7,013.47x = 10,514.64 × 3,501.67
  4. Step 4: Simplify right side
    7,013.47x = 36,818,799.45
  5. Step 5: Solve for x
    x = 36,818,799.45/7,013.47
  6. Step 6: Final answer
    x = 5,249.73

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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.