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Finding the Fourth Proportional to 12,771.93, 17,625.42 and 7,182.93

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Solution

The fourth proportional to 12,771.93, 17,625.42 and 7,182.93 is: 9,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.93 : 17,625.42 = 7,182.93 : x
  2. Step 2: Convert to fraction form
    12,771.93/17,625.42 = 7,182.93/x
  3. Step 3: Cross multiply
    12,771.93x = 17,625.42 × 7,182.93
  4. Step 4: Simplify right side
    12,771.93x = 126,602,158.08
  5. Step 5: Solve for x
    x = 126,602,158.08/12,771.93
  6. Step 6: Final answer
    x = 9,912.53

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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.