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Finding the Fourth Proportional to 6,073.31, 9,110.28 and 1,913.64

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Solution

The fourth proportional to 6,073.31, 9,110.28 and 1,913.64 is: 2,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.31 : 9,110.28 = 1,913.64 : x
  2. Step 2: Convert to fraction form
    6,073.31/9,110.28 = 1,913.64/x
  3. Step 3: Cross multiply
    6,073.31x = 9,110.28 × 1,913.64
  4. Step 4: Simplify right side
    6,073.31x = 17,433,762.06
  5. Step 5: Solve for x
    x = 17,433,762.06/6,073.31
  6. Step 6: Final answer
    x = 2,870.56

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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.