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Finding the Fourth Proportional to 6,943.96, 10,391.10 and 6,030.28

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Solution

The fourth proportional to 6,943.96, 10,391.10 and 6,030.28 is: 9,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.96 : 10,391.10 = 6,030.28 : x
  2. Step 2: Convert to fraction form
    6,943.96/10,391.10 = 6,030.28/x
  3. Step 3: Cross multiply
    6,943.96x = 10,391.10 × 6,030.28
  4. Step 4: Simplify right side
    6,943.96x = 62,661,242.51
  5. Step 5: Solve for x
    x = 62,661,242.51/6,943.96
  6. Step 6: Final answer
    x = 9,023.85

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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.