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Finding the Fourth Proportional to 7,670.67, 10,588.38 and 4,484.99

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Solution

The fourth proportional to 7,670.67, 10,588.38 and 4,484.99 is: 6,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.67 : 10,588.38 = 4,484.99 : x
  2. Step 2: Convert to fraction form
    7,670.67/10,588.38 = 4,484.99/x
  3. Step 3: Cross multiply
    7,670.67x = 10,588.38 × 4,484.99
  4. Step 4: Simplify right side
    7,670.67x = 47,488,765.63
  5. Step 5: Solve for x
    x = 47,488,765.63/7,670.67
  6. Step 6: Final answer
    x = 6,190.96

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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.