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Finding the Fourth Proportional to 12,682.88, 17,507.08 and 9,548.16

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Solution

The fourth proportional to 12,682.88, 17,507.08 and 9,548.16 is: 13,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.88 : 17,507.08 = 9,548.16 : x
  2. Step 2: Convert to fraction form
    12,682.88/17,507.08 = 9,548.16/x
  3. Step 3: Cross multiply
    12,682.88x = 17,507.08 × 9,548.16
  4. Step 4: Simplify right side
    12,682.88x = 167,160,400.97
  5. Step 5: Solve for x
    x = 167,160,400.97/12,682.88
  6. Step 6: Final answer
    x = 13,180.00

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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.