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Finding the Fourth Proportional to 9,847.98, 14,771.88 and 6,950.16

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Solution

The fourth proportional to 9,847.98, 14,771.88 and 6,950.16 is: 10,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.98 : 14,771.88 = 6,950.16 : x
  2. Step 2: Convert to fraction form
    9,847.98/14,771.88 = 6,950.16/x
  3. Step 3: Cross multiply
    9,847.98x = 14,771.88 × 6,950.16
  4. Step 4: Simplify right side
    9,847.98x = 102,666,929.50
  5. Step 5: Solve for x
    x = 102,666,929.50/9,847.98
  6. Step 6: Final answer
    x = 10,425.18

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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.