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Finding the Fourth Proportional to 6,969.47, 10,453.81 and 5,097.28

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Solution

The fourth proportional to 6,969.47, 10,453.81 and 5,097.28 is: 7,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.47 : 10,453.81 = 5,097.28 : x
  2. Step 2: Convert to fraction form
    6,969.47/10,453.81 = 5,097.28/x
  3. Step 3: Cross multiply
    6,969.47x = 10,453.81 × 5,097.28
  4. Step 4: Simplify right side
    6,969.47x = 53,285,931.62
  5. Step 5: Solve for x
    x = 53,285,931.62/6,969.47
  6. Step 6: Final answer
    x = 7,645.63

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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.