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Finding the Fourth Proportional to 12,774.60, 17,629.04 and 7,468.36

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Solution

The fourth proportional to 12,774.60, 17,629.04 and 7,468.36 is: 10,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.60 : 17,629.04 = 7,468.36 : x
  2. Step 2: Convert to fraction form
    12,774.60/17,629.04 = 7,468.36/x
  3. Step 3: Cross multiply
    12,774.60x = 17,629.04 × 7,468.36
  4. Step 4: Simplify right side
    12,774.60x = 131,660,017.17
  5. Step 5: Solve for x
    x = 131,660,017.17/12,774.60
  6. Step 6: Final answer
    x = 10,306.39

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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.