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Finding the Fourth Proportional to 6,032.26, 9,048.70 and 2,083.50

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Solution

The fourth proportional to 6,032.26, 9,048.70 and 2,083.50 is: 3,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.26 : 9,048.70 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    6,032.26/9,048.70 = 2,083.50/x
  3. Step 3: Cross multiply
    6,032.26x = 9,048.70 × 2,083.50
  4. Step 4: Simplify right side
    6,032.26x = 18,852,966.45
  5. Step 5: Solve for x
    x = 18,852,966.45/6,032.26
  6. Step 6: Final answer
    x = 3,125.36

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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.