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Finding the Fourth Proportional to 9,407.54, 14,099.09 and 7,049.02

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Solution

The fourth proportional to 9,407.54, 14,099.09 and 7,049.02 is: 10,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.54 : 14,099.09 = 7,049.02 : x
  2. Step 2: Convert to fraction form
    9,407.54/14,099.09 = 7,049.02/x
  3. Step 3: Cross multiply
    9,407.54x = 14,099.09 × 7,049.02
  4. Step 4: Simplify right side
    9,407.54x = 99,384,767.39
  5. Step 5: Solve for x
    x = 99,384,767.39/9,407.54
  6. Step 6: Final answer
    x = 10,564.37

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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.