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Finding the Fourth Proportional to 8,463.69, 12,670.02 and 4,556.25

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Solution

The fourth proportional to 8,463.69, 12,670.02 and 4,556.25 is: 6,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.69 : 12,670.02 = 4,556.25 : x
  2. Step 2: Convert to fraction form
    8,463.69/12,670.02 = 4,556.25/x
  3. Step 3: Cross multiply
    8,463.69x = 12,670.02 × 4,556.25
  4. Step 4: Simplify right side
    8,463.69x = 57,727,778.63
  5. Step 5: Solve for x
    x = 57,727,778.63/8,463.69
  6. Step 6: Final answer
    x = 6,820.64

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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.