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Finding the Fourth Proportional to 11,542.74, 15,928.74 and 6,506.96

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Solution

The fourth proportional to 11,542.74, 15,928.74 and 6,506.96 is: 8,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.74 : 15,928.74 = 6,506.96 : x
  2. Step 2: Convert to fraction form
    11,542.74/15,928.74 = 6,506.96/x
  3. Step 3: Cross multiply
    11,542.74x = 15,928.74 × 6,506.96
  4. Step 4: Simplify right side
    11,542.74x = 103,647,674.03
  5. Step 5: Solve for x
    x = 103,647,674.03/11,542.74
  6. Step 6: Final answer
    x = 8,979.47

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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.