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Finding the Fourth Proportional to 12,563.64, 17,339.94 and 7,261.52

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Solution

The fourth proportional to 12,563.64, 17,339.94 and 7,261.52 is: 10,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.64 : 17,339.94 = 7,261.52 : x
  2. Step 2: Convert to fraction form
    12,563.64/17,339.94 = 7,261.52/x
  3. Step 3: Cross multiply
    12,563.64x = 17,339.94 × 7,261.52
  4. Step 4: Simplify right side
    12,563.64x = 125,914,234.41
  5. Step 5: Solve for x
    x = 125,914,234.41/12,563.64
  6. Step 6: Final answer
    x = 10,022.11

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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.