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Finding the Fourth Proportional to 7,650.16, 10,556.38 and 4,666.80

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Solution

The fourth proportional to 7,650.16, 10,556.38 and 4,666.80 is: 6,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.16 : 10,556.38 = 4,666.80 : x
  2. Step 2: Convert to fraction form
    7,650.16/10,556.38 = 4,666.80/x
  3. Step 3: Cross multiply
    7,650.16x = 10,556.38 × 4,666.80
  4. Step 4: Simplify right side
    7,650.16x = 49,264,514.18
  5. Step 5: Solve for x
    x = 49,264,514.18/7,650.16
  6. Step 6: Final answer
    x = 6,439.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.