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Finding the Fourth Proportional to 9,699.75, 14,551.38 and 6,415.56

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Solution

The fourth proportional to 9,699.75, 14,551.38 and 6,415.56 is: 9,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 14,551.38 = 6,415.56 : x
  2. Step 2: Convert to fraction form
    9,699.75/14,551.38 = 6,415.56/x
  3. Step 3: Cross multiply
    9,699.75x = 14,551.38 × 6,415.56
  4. Step 4: Simplify right side
    9,699.75x = 93,355,251.47
  5. Step 5: Solve for x
    x = 93,355,251.47/9,699.75
  6. Step 6: Final answer
    x = 9,624.50

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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.