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Finding the Fourth Proportional to 6,265.50, 9,402.77 and 5,047.62

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Solution

The fourth proportional to 6,265.50, 9,402.77 and 5,047.62 is: 7,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.50 : 9,402.77 = 5,047.62 : x
  2. Step 2: Convert to fraction form
    6,265.50/9,402.77 = 5,047.62/x
  3. Step 3: Cross multiply
    6,265.50x = 9,402.77 × 5,047.62
  4. Step 4: Simplify right side
    6,265.50x = 47,461,609.91
  5. Step 5: Solve for x
    x = 47,461,609.91/6,265.50
  6. Step 6: Final answer
    x = 7,575.07

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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.