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Finding the Fourth Proportional to 9,884.94, 14,803.74 and 7,209.36

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Solution

The fourth proportional to 9,884.94, 14,803.74 and 7,209.36 is: 10,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.94 : 14,803.74 = 7,209.36 : x
  2. Step 2: Convert to fraction form
    9,884.94/14,803.74 = 7,209.36/x
  3. Step 3: Cross multiply
    9,884.94x = 14,803.74 × 7,209.36
  4. Step 4: Simplify right side
    9,884.94x = 106,725,491.01
  5. Step 5: Solve for x
    x = 106,725,491.01/9,884.94
  6. Step 6: Final answer
    x = 10,796.78

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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.