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Finding the Fourth Proportional to 8,243.14, 12,304.74 and 7,634.02

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Solution

The fourth proportional to 8,243.14, 12,304.74 and 7,634.02 is: 11,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.14 : 12,304.74 = 7,634.02 : x
  2. Step 2: Convert to fraction form
    8,243.14/12,304.74 = 7,634.02/x
  3. Step 3: Cross multiply
    8,243.14x = 12,304.74 × 7,634.02
  4. Step 4: Simplify right side
    8,243.14x = 93,934,631.25
  5. Step 5: Solve for x
    x = 93,934,631.25/8,243.14
  6. Step 6: Final answer
    x = 11,395.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.