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Finding the Fourth Proportional to 6,996, 10,497.65 and 3,533.25

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Solution

The fourth proportional to 6,996, 10,497.65 and 3,533.25 is: 5,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996 : 10,497.65 = 3,533.25 : x
  2. Step 2: Convert to fraction form
    6,996/10,497.65 = 3,533.25/x
  3. Step 3: Cross multiply
    6,996x = 10,497.65 × 3,533.25
  4. Step 4: Simplify right side
    6,996x = 37,090,804.20
  5. Step 5: Solve for x
    x = 37,090,804.20/6,996
  6. Step 6: Final answer
    x = 5,301.72

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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.