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Finding the Fourth Proportional to 7,076.54, 9,761.64 and 4,243.16

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Solution

The fourth proportional to 7,076.54, 9,761.64 and 4,243.16 is: 5,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.54 : 9,761.64 = 4,243.16 : x
  2. Step 2: Convert to fraction form
    7,076.54/9,761.64 = 4,243.16/x
  3. Step 3: Cross multiply
    7,076.54x = 9,761.64 × 4,243.16
  4. Step 4: Simplify right side
    7,076.54x = 41,420,200.38
  5. Step 5: Solve for x
    x = 41,420,200.38/7,076.54
  6. Step 6: Final answer
    x = 5,853.17

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1.5x scale

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.