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Finding the Fourth Proportional to 6,355.36, 9,509.28 and 6,022

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Solution

The fourth proportional to 6,355.36, 9,509.28 and 6,022 is: 9,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.36 : 9,509.28 = 6,022 : x
  2. Step 2: Convert to fraction form
    6,355.36/9,509.28 = 6,022/x
  3. Step 3: Cross multiply
    6,355.36x = 9,509.28 × 6,022
  4. Step 4: Simplify right side
    6,355.36x = 57,264,884.16
  5. Step 5: Solve for x
    x = 57,264,884.16/6,355.36
  6. Step 6: Final answer
    x = 9,010.49

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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.