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Finding the Fourth Proportional to 12,447.75, 17,177.90 and 6,858.75

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Solution

The fourth proportional to 12,447.75, 17,177.90 and 6,858.75 is: 9,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.75 : 17,177.90 = 6,858.75 : x
  2. Step 2: Convert to fraction form
    12,447.75/17,177.90 = 6,858.75/x
  3. Step 3: Cross multiply
    12,447.75x = 17,177.90 × 6,858.75
  4. Step 4: Simplify right side
    12,447.75x = 117,818,887.33
  5. Step 5: Solve for x
    x = 117,818,887.33/12,447.75
  6. Step 6: Final answer
    x = 9,465.08

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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.