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Finding the Fourth Proportional to 6,356.81, 9,537.29 and 3,070.28

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Solution

The fourth proportional to 6,356.81, 9,537.29 and 3,070.28 is: 4,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.81 : 9,537.29 = 3,070.28 : x
  2. Step 2: Convert to fraction form
    6,356.81/9,537.29 = 3,070.28/x
  3. Step 3: Cross multiply
    6,356.81x = 9,537.29 × 3,070.28
  4. Step 4: Simplify right side
    6,356.81x = 29,282,135.39
  5. Step 5: Solve for x
    x = 29,282,135.39/6,356.81
  6. Step 6: Final answer
    x = 4,606.42

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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.