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Finding the Fourth Proportional to 9,998.78, 14,978.67 and 6,525.50

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Solution

The fourth proportional to 9,998.78, 14,978.67 and 6,525.50 is: 9,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.78 : 14,978.67 = 6,525.50 : x
  2. Step 2: Convert to fraction form
    9,998.78/14,978.67 = 6,525.50/x
  3. Step 3: Cross multiply
    9,998.78x = 14,978.67 × 6,525.50
  4. Step 4: Simplify right side
    9,998.78x = 97,743,311.09
  5. Step 5: Solve for x
    x = 97,743,311.09/9,998.78
  6. Step 6: Final answer
    x = 9,775.52

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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.