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Finding the Fourth Proportional to 9,891.99, 14,840.46 and 6,975.99

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Solution

The fourth proportional to 9,891.99, 14,840.46 and 6,975.99 is: 10,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.99 : 14,840.46 = 6,975.99 : x
  2. Step 2: Convert to fraction form
    9,891.99/14,840.46 = 6,975.99/x
  3. Step 3: Cross multiply
    9,891.99x = 14,840.46 × 6,975.99
  4. Step 4: Simplify right side
    9,891.99x = 103,526,900.56
  5. Step 5: Solve for x
    x = 103,526,900.56/9,891.99
  6. Step 6: Final answer
    x = 10,465.73

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1.5x scale

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.