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Finding the Fourth Proportional to 9,496.07, 14,239.78 and 3,946.11

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Solution

The fourth proportional to 9,496.07, 14,239.78 and 3,946.11 is: 5,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.07 : 14,239.78 = 3,946.11 : x
  2. Step 2: Convert to fraction form
    9,496.07/14,239.78 = 3,946.11/x
  3. Step 3: Cross multiply
    9,496.07x = 14,239.78 × 3,946.11
  4. Step 4: Simplify right side
    9,496.07x = 56,191,728.39
  5. Step 5: Solve for x
    x = 56,191,728.39/9,496.07
  6. Step 6: Final answer
    x = 5,917.37

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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.