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Finding the Fourth Proportional to 12,883, 17,778.56 and 7,295.08

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Solution

The fourth proportional to 12,883, 17,778.56 and 7,295.08 is: 10,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883 : 17,778.56 = 7,295.08 : x
  2. Step 2: Convert to fraction form
    12,883/17,778.56 = 7,295.08/x
  3. Step 3: Cross multiply
    12,883x = 17,778.56 × 7,295.08
  4. Step 4: Simplify right side
    12,883x = 129,696,017.48
  5. Step 5: Solve for x
    x = 129,696,017.48/12,883
  6. Step 6: Final answer
    x = 10,067.22

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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.