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Finding the Fourth Proportional to 6,347.66, 9,523.65 and 3,267.50

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Solution

The fourth proportional to 6,347.66, 9,523.65 and 3,267.50 is: 4,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.66 : 9,523.65 = 3,267.50 : x
  2. Step 2: Convert to fraction form
    6,347.66/9,523.65 = 3,267.50/x
  3. Step 3: Cross multiply
    6,347.66x = 9,523.65 × 3,267.50
  4. Step 4: Simplify right side
    6,347.66x = 31,118,526.38
  5. Step 5: Solve for x
    x = 31,118,526.38/6,347.66
  6. Step 6: Final answer
    x = 4,902.36

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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.