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Finding the Fourth Proportional to 7,025.44, 9,693.84 and 4,540

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Solution

The fourth proportional to 7,025.44, 9,693.84 and 4,540 is: 6,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.44 : 9,693.84 = 4,540 : x
  2. Step 2: Convert to fraction form
    7,025.44/9,693.84 = 4,540/x
  3. Step 3: Cross multiply
    7,025.44x = 9,693.84 × 4,540
  4. Step 4: Simplify right side
    7,025.44x = 44,010,033.60
  5. Step 5: Solve for x
    x = 44,010,033.60/7,025.44
  6. Step 6: Final answer
    x = 6,264.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.