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Finding the Fourth Proportional to 6,306.53, 9,459.41 and 2,795.50

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Solution

The fourth proportional to 6,306.53, 9,459.41 and 2,795.50 is: 4,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.53 : 9,459.41 = 2,795.50 : x
  2. Step 2: Convert to fraction form
    6,306.53/9,459.41 = 2,795.50/x
  3. Step 3: Cross multiply
    6,306.53x = 9,459.41 × 2,795.50
  4. Step 4: Simplify right side
    6,306.53x = 26,443,778.50
  5. Step 5: Solve for x
    x = 26,443,778.50/6,306.53
  6. Step 6: Final answer
    x = 4,193.08

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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.