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Finding the Fourth Proportional to 9,243.36, 12,757.04 and 5,263.68

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Solution

The fourth proportional to 9,243.36, 12,757.04 and 5,263.68 is: 7,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.36 : 12,757.04 = 5,263.68 : x
  2. Step 2: Convert to fraction form
    9,243.36/12,757.04 = 5,263.68/x
  3. Step 3: Cross multiply
    9,243.36x = 12,757.04 × 5,263.68
  4. Step 4: Simplify right side
    9,243.36x = 67,148,976.31
  5. Step 5: Solve for x
    x = 67,148,976.31/9,243.36
  6. Step 6: Final answer
    x = 7,264.56

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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.