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Finding the Fourth Proportional to 12,562.94, 17,340 and 7,261.09

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Solution

The fourth proportional to 12,562.94, 17,340 and 7,261.09 is: 10,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.94 : 17,340 = 7,261.09 : x
  2. Step 2: Convert to fraction form
    12,562.94/17,340 = 7,261.09/x
  3. Step 3: Cross multiply
    12,562.94x = 17,340 × 7,261.09
  4. Step 4: Simplify right side
    12,562.94x = 125,907,300.60
  5. Step 5: Solve for x
    x = 125,907,300.60/12,562.94
  6. Step 6: Final answer
    x = 10,022.12

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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.