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Finding the Fourth Proportional to 9,243.92, 12,756 and 5,265.44

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Solution

The fourth proportional to 9,243.92, 12,756 and 5,265.44 is: 7,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.92 : 12,756 = 5,265.44 : x
  2. Step 2: Convert to fraction form
    9,243.92/12,756 = 5,265.44/x
  3. Step 3: Cross multiply
    9,243.92x = 12,756 × 5,265.44
  4. Step 4: Simplify right side
    9,243.92x = 67,165,952.64
  5. Step 5: Solve for x
    x = 67,165,952.64/9,243.92
  6. Step 6: Final answer
    x = 7,265.96

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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.