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Finding the Fourth Proportional to 6,507.18, 9,770.49 and 6,409.98

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Solution

The fourth proportional to 6,507.18, 9,770.49 and 6,409.98 is: 9,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.18 : 9,770.49 = 6,409.98 : x
  2. Step 2: Convert to fraction form
    6,507.18/9,770.49 = 6,409.98/x
  3. Step 3: Cross multiply
    6,507.18x = 9,770.49 × 6,409.98
  4. Step 4: Simplify right side
    6,507.18x = 62,628,645.49
  5. Step 5: Solve for x
    x = 62,628,645.49/6,507.18
  6. Step 6: Final answer
    x = 9,624.54

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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.