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Finding the Fourth Proportional to 9,583.77, 13,154.94 and 8,512.41

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Solution

The fourth proportional to 9,583.77, 13,154.94 and 8,512.41 is: 11,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.77 : 13,154.94 = 8,512.41 : x
  2. Step 2: Convert to fraction form
    9,583.77/13,154.94 = 8,512.41/x
  3. Step 3: Cross multiply
    9,583.77x = 13,154.94 × 8,512.41
  4. Step 4: Simplify right side
    9,583.77x = 111,980,264.09
  5. Step 5: Solve for x
    x = 111,980,264.09/9,583.77
  6. Step 6: Final answer
    x = 11,684.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.