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Finding the Fourth Proportional to 6,996.93, 9,664.97 and 5,225.46

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Solution

The fourth proportional to 6,996.93, 9,664.97 and 5,225.46 is: 7,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.93 : 9,664.97 = 5,225.46 : x
  2. Step 2: Convert to fraction form
    6,996.93/9,664.97 = 5,225.46/x
  3. Step 3: Cross multiply
    6,996.93x = 9,664.97 × 5,225.46
  4. Step 4: Simplify right side
    6,996.93x = 50,503,914.14
  5. Step 5: Solve for x
    x = 50,503,914.14/6,996.93
  6. Step 6: Final answer
    x = 7,218.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.