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Finding the Fourth Proportional to 9,604.88, 14,409.48 and 6,949.16

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Solution

The fourth proportional to 9,604.88, 14,409.48 and 6,949.16 is: 10,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.88 : 14,409.48 = 6,949.16 : x
  2. Step 2: Convert to fraction form
    9,604.88/14,409.48 = 6,949.16/x
  3. Step 3: Cross multiply
    9,604.88x = 14,409.48 × 6,949.16
  4. Step 4: Simplify right side
    9,604.88x = 100,133,782.04
  5. Step 5: Solve for x
    x = 100,133,782.04/9,604.88
  6. Step 6: Final answer
    x = 10,425.30

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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.