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Finding the Fourth Proportional to 9,811.69, 14,697.21 and 4,798.99

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Solution

The fourth proportional to 9,811.69, 14,697.21 and 4,798.99 is: 7,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.69 : 14,697.21 = 4,798.99 : x
  2. Step 2: Convert to fraction form
    9,811.69/14,697.21 = 4,798.99/x
  3. Step 3: Cross multiply
    9,811.69x = 14,697.21 × 4,798.99
  4. Step 4: Simplify right side
    9,811.69x = 70,531,763.82
  5. Step 5: Solve for x
    x = 70,531,763.82/9,811.69
  6. Step 6: Final answer
    x = 7,188.54

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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.