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Finding the Fourth Proportional to 6,298.34, 9,434.54 and 3,695

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Solution

The fourth proportional to 6,298.34, 9,434.54 and 3,695 is: 5,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.34 : 9,434.54 = 3,695 : x
  2. Step 2: Convert to fraction form
    6,298.34/9,434.54 = 3,695/x
  3. Step 3: Cross multiply
    6,298.34x = 9,434.54 × 3,695
  4. Step 4: Simplify right side
    6,298.34x = 34,860,625.30
  5. Step 5: Solve for x
    x = 34,860,625.30/6,298.34
  6. Step 6: Final answer
    x = 5,534.89

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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.