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Finding the Fourth Proportional to 6,885.70, 9,487.61 and 4,643.67

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Solution

The fourth proportional to 6,885.70, 9,487.61 and 4,643.67 is: 6,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.70 : 9,487.61 = 4,643.67 : x
  2. Step 2: Convert to fraction form
    6,885.70/9,487.61 = 4,643.67/x
  3. Step 3: Cross multiply
    6,885.70x = 9,487.61 × 4,643.67
  4. Step 4: Simplify right side
    6,885.70x = 44,057,359.70
  5. Step 5: Solve for x
    x = 44,057,359.70/6,885.70
  6. Step 6: Final answer
    x = 6,398.39

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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.