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Finding the Fourth Proportional to 6,503.86, 9,759.50 and 6,451

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Solution

The fourth proportional to 6,503.86, 9,759.50 and 6,451 is: 9,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.86 : 9,759.50 = 6,451 : x
  2. Step 2: Convert to fraction form
    6,503.86/9,759.50 = 6,451/x
  3. Step 3: Cross multiply
    6,503.86x = 9,759.50 × 6,451
  4. Step 4: Simplify right side
    6,503.86x = 62,958,534.50
  5. Step 5: Solve for x
    x = 62,958,534.50/6,503.86
  6. Step 6: Final answer
    x = 9,680.18

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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.