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Finding the Fourth Proportional to 12,880.56, 17,776.92 and 7,291.44

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Solution

The fourth proportional to 12,880.56, 17,776.92 and 7,291.44 is: 10,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.56 : 17,776.92 = 7,291.44 : x
  2. Step 2: Convert to fraction form
    12,880.56/17,776.92 = 7,291.44/x
  3. Step 3: Cross multiply
    12,880.56x = 17,776.92 × 7,291.44
  4. Step 4: Simplify right side
    12,880.56x = 129,619,345.56
  5. Step 5: Solve for x
    x = 129,619,345.56/12,880.56
  6. Step 6: Final answer
    x = 10,063.18

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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.